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Finding the Third Proportional to 338,452 and 721,937

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Solution

The third proportional to 338,452 and 721,937 is: 1,539,931.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,452 : 721,937 = 721,937 : x
  2. Step 2: Convert to fraction form
    338,452/721,937 = 721,937/x
  3. Step 3: Cross multiply
    338,452x = 721,937 × 721,937
  4. Step 4: Simplify right side
    338,452x = 521,193,031,969
  5. Step 5: Solve for x
    x = 521,193,031,969/338,452
  6. Step 6: Final answer
    x = 1,539,931.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.