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Finding the Third Proportional to 303,654,893,608.50 and 632,443,124,160

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Solution

The third proportional to 303,654,893,608.50 and 632,443,124,160 is: 1,317,233,193,722.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,654,893,608.50 : 632,443,124,160 = 632,443,124,160 : x
  2. Step 2: Convert to fraction form
    303,654,893,608.50/632,443,124,160 = 632,443,124,160/x
  3. Step 3: Cross multiply
    303,654,893,608.50x = 632,443,124,160 × 632,443,124,160
  4. Step 4: Simplify right side
    303,654,893,608.50x = 399,984,305,297,261,192,019,968
  5. Step 5: Solve for x
    x = 399,984,305,297,261,192,019,968/303,654,893,608.50
  6. Step 6: Final answer
    x = 1,317,233,193,722.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.