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Finding the Third Proportional to 129,229 and 188,831

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Solution

The third proportional to 129,229 and 188,831 is: 275,922.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,229 : 188,831 = 188,831 : x
  2. Step 2: Convert to fraction form
    129,229/188,831 = 188,831/x
  3. Step 3: Cross multiply
    129,229x = 188,831 × 188,831
  4. Step 4: Simplify right side
    129,229x = 35,657,146,561
  5. Step 5: Solve for x
    x = 35,657,146,561/129,229
  6. Step 6: Final answer
    x = 275,922.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.