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Finding the Third Proportional to 338,538 and 720,940

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Solution

The third proportional to 338,538 and 720,940 is: 1,535,291.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,538 : 720,940 = 720,940 : x
  2. Step 2: Convert to fraction form
    338,538/720,940 = 720,940/x
  3. Step 3: Cross multiply
    338,538x = 720,940 × 720,940
  4. Step 4: Simplify right side
    338,538x = 519,754,483,600
  5. Step 5: Solve for x
    x = 519,754,483,600/338,538
  6. Step 6: Final answer
    x = 1,535,291.41

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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.