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Finding the Third Proportional to 83,466 and 129,258

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Solution

The third proportional to 83,466 and 129,258 is: 200,172.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,466 : 129,258 = 129,258 : x
  2. Step 2: Convert to fraction form
    83,466/129,258 = 129,258/x
  3. Step 3: Cross multiply
    83,466x = 129,258 × 129,258
  4. Step 4: Simplify right side
    83,466x = 16,707,630,564
  5. Step 5: Solve for x
    x = 16,707,630,564/83,466
  6. Step 6: Final answer
    x = 200,172.89

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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.