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Finding the Third Proportional to 87,537.38 and 128,201.06

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Solution

The third proportional to 87,537.38 and 128,201.06 is: 187,754.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,537.38 : 128,201.06 = 128,201.06 : x
  2. Step 2: Convert to fraction form
    87,537.38/128,201.06 = 128,201.06/x
  3. Step 3: Cross multiply
    87,537.38x = 128,201.06 × 128,201.06
  4. Step 4: Simplify right side
    87,537.38x = 16,435,512,426.13
  5. Step 5: Solve for x
    x = 16,435,512,426.13/87,537.38
  6. Step 6: Final answer
    x = 187,754.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.