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Finding the Third Proportional to 83,477 and 129,338

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Solution

The third proportional to 83,477 and 129,338 is: 200,394.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,477 : 129,338 = 129,338 : x
  2. Step 2: Convert to fraction form
    83,477/129,338 = 129,338/x
  3. Step 3: Cross multiply
    83,477x = 129,338 × 129,338
  4. Step 4: Simplify right side
    83,477x = 16,728,318,244
  5. Step 5: Solve for x
    x = 16,728,318,244/83,477
  6. Step 6: Final answer
    x = 200,394.34

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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.