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Finding the Third Proportional to 338,505 and 729,909

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Solution

The third proportional to 338,505 and 729,909 is: 1,573,882.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,505 : 729,909 = 729,909 : x
  2. Step 2: Convert to fraction form
    338,505/729,909 = 729,909/x
  3. Step 3: Cross multiply
    338,505x = 729,909 × 729,909
  4. Step 4: Simplify right side
    338,505x = 532,767,148,281
  5. Step 5: Solve for x
    x = 532,767,148,281/338,505
  6. Step 6: Final answer
    x = 1,573,882.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.