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Finding the Third Proportional to 123,478 and 187,881

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Solution

The third proportional to 123,478 and 187,881 is: 285,874.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,478 : 187,881 = 187,881 : x
  2. Step 2: Convert to fraction form
    123,478/187,881 = 187,881/x
  3. Step 3: Cross multiply
    123,478x = 187,881 × 187,881
  4. Step 4: Simplify right side
    123,478x = 35,299,270,161
  5. Step 5: Solve for x
    x = 35,299,270,161/123,478
  6. Step 6: Final answer
    x = 285,874.97

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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.