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Finding the Third Proportional to 198,560,990.25 and 306,215,505

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Solution

The third proportional to 198,560,990.25 and 306,215,505 is: 472,237,448.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,560,990.25 : 306,215,505 = 306,215,505 : x
  2. Step 2: Convert to fraction form
    198,560,990.25/306,215,505 = 306,215,505/x
  3. Step 3: Cross multiply
    198,560,990.25x = 306,215,505 × 306,215,505
  4. Step 4: Simplify right side
    198,560,990.25x = 93,767,935,502,405,024
  5. Step 5: Solve for x
    x = 93,767,935,502,405,024/198,560,990.25
  6. Step 6: Final answer
    x = 472,237,448.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.