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Finding the Third Proportional to 78,614 and 124,542

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Solution

The third proportional to 78,614 and 124,542 is: 197,302.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,614 : 124,542 = 124,542 : x
  2. Step 2: Convert to fraction form
    78,614/124,542 = 124,542/x
  3. Step 3: Cross multiply
    78,614x = 124,542 × 124,542
  4. Step 4: Simplify right side
    78,614x = 15,510,709,764
  5. Step 5: Solve for x
    x = 15,510,709,764/78,614
  6. Step 6: Final answer
    x = 197,302.13

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.