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Finding the Third Proportional to 87,259.78 and 128,116.69

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Solution

The third proportional to 87,259.78 and 128,116.69 is: 188,103.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,259.78 : 128,116.69 = 128,116.69 : x
  2. Step 2: Convert to fraction form
    87,259.78/128,116.69 = 128,116.69/x
  3. Step 3: Cross multiply
    87,259.78x = 128,116.69 × 128,116.69
  4. Step 4: Simplify right side
    87,259.78x = 16,413,885,615.97
  5. Step 5: Solve for x
    x = 16,413,885,615.97/87,259.78
  6. Step 6: Final answer
    x = 188,103.68

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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.