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Finding the Third Proportional to 206,946,909 and 324,638,781.50

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Solution

The third proportional to 206,946,909 and 324,638,781.50 is: 509,262,684.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,946,909 : 324,638,781.50 = 324,638,781.50 : x
  2. Step 2: Convert to fraction form
    206,946,909/324,638,781.50 = 324,638,781.50/x
  3. Step 3: Cross multiply
    206,946,909x = 324,638,781.50 × 324,638,781.50
  4. Step 4: Simplify right side
    206,946,909x = 105,390,338,453,804,736
  5. Step 5: Solve for x
    x = 105,390,338,453,804,736/206,946,909
  6. Step 6: Final answer
    x = 509,262,684.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.