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Finding the Third Proportional to 83,513 and 129,158

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Solution

The third proportional to 83,513 and 129,158 is: 199,750.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,513 : 129,158 = 129,158 : x
  2. Step 2: Convert to fraction form
    83,513/129,158 = 129,158/x
  3. Step 3: Cross multiply
    83,513x = 129,158 × 129,158
  4. Step 4: Simplify right side
    83,513x = 16,681,788,964
  5. Step 5: Solve for x
    x = 16,681,788,964/83,513
  6. Step 6: Final answer
    x = 199,750.80

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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.