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Finding the Third Proportional to 87,712.88 and 128,288.81

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Solution

The third proportional to 87,712.88 and 128,288.81 is: 187,635.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,712.88 : 128,288.81 = 128,288.81 : x
  2. Step 2: Convert to fraction form
    87,712.88/128,288.81 = 128,288.81/x
  3. Step 3: Cross multiply
    87,712.88x = 128,288.81 × 128,288.81
  4. Step 4: Simplify right side
    87,712.88x = 16,458,019,412.66
  5. Step 5: Solve for x
    x = 16,458,019,412.66/87,712.88
  6. Step 6: Final answer
    x = 187,635.16

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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.