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Finding the Third Proportional to 84,163 and 129,357

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Solution

The third proportional to 84,163 and 129,357 is: 198,819.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,163 : 129,357 = 129,357 : x
  2. Step 2: Convert to fraction form
    84,163/129,357 = 129,357/x
  3. Step 3: Cross multiply
    84,163x = 129,357 × 129,357
  4. Step 4: Simplify right side
    84,163x = 16,733,233,449
  5. Step 5: Solve for x
    x = 16,733,233,449/84,163
  6. Step 6: Final answer
    x = 198,819.36

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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.