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Finding the Third Proportional to 187,680 and 276,288

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Solution

The third proportional to 187,680 and 276,288 is: 406,729.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,680 : 276,288 = 276,288 : x
  2. Step 2: Convert to fraction form
    187,680/276,288 = 276,288/x
  3. Step 3: Cross multiply
    187,680x = 276,288 × 276,288
  4. Step 4: Simplify right side
    187,680x = 76,335,058,944
  5. Step 5: Solve for x
    x = 76,335,058,944/187,680
  6. Step 6: Final answer
    x = 406,729.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.