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Finding the Third Proportional to 78,992 and 125,624

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Solution

The third proportional to 78,992 and 125,624 is: 199,784.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,992 : 125,624 = 125,624 : x
  2. Step 2: Convert to fraction form
    78,992/125,624 = 125,624/x
  3. Step 3: Cross multiply
    78,992x = 125,624 × 125,624
  4. Step 4: Simplify right side
    78,992x = 15,781,389,376
  5. Step 5: Solve for x
    x = 15,781,389,376/78,992
  6. Step 6: Final answer
    x = 199,784.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.