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Finding the Third Proportional to 338,680 and 746,468

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Solution

The third proportional to 338,680 and 746,468 is: 1,645,253.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,680 : 746,468 = 746,468 : x
  2. Step 2: Convert to fraction form
    338,680/746,468 = 746,468/x
  3. Step 3: Cross multiply
    338,680x = 746,468 × 746,468
  4. Step 4: Simplify right side
    338,680x = 557,214,475,024
  5. Step 5: Solve for x
    x = 557,214,475,024/338,680
  6. Step 6: Final answer
    x = 1,645,253.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.