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Finding the Third Proportional to 345,952 and 752,489

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Solution

The third proportional to 345,952 and 752,489 is: 1,636,757.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,952 : 752,489 = 752,489 : x
  2. Step 2: Convert to fraction form
    345,952/752,489 = 752,489/x
  3. Step 3: Cross multiply
    345,952x = 752,489 × 752,489
  4. Step 4: Simplify right side
    345,952x = 566,239,695,121
  5. Step 5: Solve for x
    x = 566,239,695,121/345,952
  6. Step 6: Final answer
    x = 1,636,757.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.