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Finding the Third Proportional to 83,906 and 129,630

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Solution

The third proportional to 83,906 and 129,630 is: 200,270.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,906 : 129,630 = 129,630 : x
  2. Step 2: Convert to fraction form
    83,906/129,630 = 129,630/x
  3. Step 3: Cross multiply
    83,906x = 129,630 × 129,630
  4. Step 4: Simplify right side
    83,906x = 16,803,936,900
  5. Step 5: Solve for x
    x = 16,803,936,900/83,906
  6. Step 6: Final answer
    x = 200,270.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.