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Finding the Third Proportional to 83,021 and 129,716

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Solution

The third proportional to 83,021 and 129,716 is: 202,674.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,021 : 129,716 = 129,716 : x
  2. Step 2: Convert to fraction form
    83,021/129,716 = 129,716/x
  3. Step 3: Cross multiply
    83,021x = 129,716 × 129,716
  4. Step 4: Simplify right side
    83,021x = 16,826,240,656
  5. Step 5: Solve for x
    x = 16,826,240,656/83,021
  6. Step 6: Final answer
    x = 202,674.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.