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Finding the Third Proportional to 84,438 and 129,465

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Solution

The third proportional to 84,438 and 129,465 is: 198,502.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,438 : 129,465 = 129,465 : x
  2. Step 2: Convert to fraction form
    84,438/129,465 = 129,465/x
  3. Step 3: Cross multiply
    84,438x = 129,465 × 129,465
  4. Step 4: Simplify right side
    84,438x = 16,761,186,225
  5. Step 5: Solve for x
    x = 16,761,186,225/84,438
  6. Step 6: Final answer
    x = 198,502.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.