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Finding the Third Proportional to 129,861 and 270,114

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Solution

The third proportional to 129,861 and 270,114 is: 561,843.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,861 : 270,114 = 270,114 : x
  2. Step 2: Convert to fraction form
    129,861/270,114 = 270,114/x
  3. Step 3: Cross multiply
    129,861x = 270,114 × 270,114
  4. Step 4: Simplify right side
    129,861x = 72,961,572,996
  5. Step 5: Solve for x
    x = 72,961,572,996/129,861
  6. Step 6: Final answer
    x = 561,843.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.