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Finding the Third Proportional to 126,555 and 187,887

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Solution

The third proportional to 126,555 and 187,887 is: 278,942.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,555 : 187,887 = 187,887 : x
  2. Step 2: Convert to fraction form
    126,555/187,887 = 187,887/x
  3. Step 3: Cross multiply
    126,555x = 187,887 × 187,887
  4. Step 4: Simplify right side
    126,555x = 35,301,524,769
  5. Step 5: Solve for x
    x = 35,301,524,769/126,555
  6. Step 6: Final answer
    x = 278,942.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.