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Finding the Third Proportional to 147,759 and 316,542

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Solution

The third proportional to 147,759 and 316,542 is: 678,123.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,759 : 316,542 = 316,542 : x
  2. Step 2: Convert to fraction form
    147,759/316,542 = 316,542/x
  3. Step 3: Cross multiply
    147,759x = 316,542 × 316,542
  4. Step 4: Simplify right side
    147,759x = 100,198,837,764
  5. Step 5: Solve for x
    x = 100,198,837,764/147,759
  6. Step 6: Final answer
    x = 678,123.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.