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Finding the Third Proportional to 123,498 and 187,911

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Solution

The third proportional to 123,498 and 187,911 is: 285,919.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,498 : 187,911 = 187,911 : x
  2. Step 2: Convert to fraction form
    123,498/187,911 = 187,911/x
  3. Step 3: Cross multiply
    123,498x = 187,911 × 187,911
  4. Step 4: Simplify right side
    123,498x = 35,310,543,921
  5. Step 5: Solve for x
    x = 35,310,543,921/123,498
  6. Step 6: Final answer
    x = 285,919.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.