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Finding the Third Proportional to 129,182 and 273,998

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Solution

The third proportional to 129,182 and 273,998 is: 581,156.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,182 : 273,998 = 273,998 : x
  2. Step 2: Convert to fraction form
    129,182/273,998 = 273,998/x
  3. Step 3: Cross multiply
    129,182x = 273,998 × 273,998
  4. Step 4: Simplify right side
    129,182x = 75,074,904,004
  5. Step 5: Solve for x
    x = 75,074,904,004/129,182
  6. Step 6: Final answer
    x = 581,156.07

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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.