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Finding the Third Proportional to 135,978 and 291,624

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Solution

The third proportional to 135,978 and 291,624 is: 625,428.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,978 : 291,624 = 291,624 : x
  2. Step 2: Convert to fraction form
    135,978/291,624 = 291,624/x
  3. Step 3: Cross multiply
    135,978x = 291,624 × 291,624
  4. Step 4: Simplify right side
    135,978x = 85,044,557,376
  5. Step 5: Solve for x
    x = 85,044,557,376/135,978
  6. Step 6: Final answer
    x = 625,428.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.