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Finding the Third Proportional to 131,603 and 187,561

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Solution

The third proportional to 131,603 and 187,561 is: 267,312.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,603 : 187,561 = 187,561 : x
  2. Step 2: Convert to fraction form
    131,603/187,561 = 187,561/x
  3. Step 3: Cross multiply
    131,603x = 187,561 × 187,561
  4. Step 4: Simplify right side
    131,603x = 35,179,128,721
  5. Step 5: Solve for x
    x = 35,179,128,721/131,603
  6. Step 6: Final answer
    x = 267,312.51

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.