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Finding the Third Proportional to 129,289 and 274,229

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Solution

The third proportional to 129,289 and 274,229 is: 581,654.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,289 : 274,229 = 274,229 : x
  2. Step 2: Convert to fraction form
    129,289/274,229 = 274,229/x
  3. Step 3: Cross multiply
    129,289x = 274,229 × 274,229
  4. Step 4: Simplify right side
    129,289x = 75,201,544,441
  5. Step 5: Solve for x
    x = 75,201,544,441/129,289
  6. Step 6: Final answer
    x = 581,654.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.