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Finding the Third Proportional to 338,438 and 721,912

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Solution

The third proportional to 338,438 and 721,912 is: 1,539,888.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,438 : 721,912 = 721,912 : x
  2. Step 2: Convert to fraction form
    338,438/721,912 = 721,912/x
  3. Step 3: Cross multiply
    338,438x = 721,912 × 721,912
  4. Step 4: Simplify right side
    338,438x = 521,156,935,744
  5. Step 5: Solve for x
    x = 521,156,935,744/338,438
  6. Step 6: Final answer
    x = 1,539,888.95

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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.