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Finding the Third Proportional to 83,718 and 129,420

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Solution

The third proportional to 83,718 and 129,420 is: 200,070.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,718 : 129,420 = 129,420 : x
  2. Step 2: Convert to fraction form
    83,718/129,420 = 129,420/x
  3. Step 3: Cross multiply
    83,718x = 129,420 × 129,420
  4. Step 4: Simplify right side
    83,718x = 16,749,536,400
  5. Step 5: Solve for x
    x = 16,749,536,400/83,718
  6. Step 6: Final answer
    x = 200,070.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.