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Finding the Third Proportional to 136,431 and 279,624

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Solution

The third proportional to 136,431 and 279,624 is: 573,107.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,431 : 279,624 = 279,624 : x
  2. Step 2: Convert to fraction form
    136,431/279,624 = 279,624/x
  3. Step 3: Cross multiply
    136,431x = 279,624 × 279,624
  4. Step 4: Simplify right side
    136,431x = 78,189,581,376
  5. Step 5: Solve for x
    x = 78,189,581,376/136,431
  6. Step 6: Final answer
    x = 573,107.15

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.