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Finding the Third Proportional to 87,648.75 and 128,675.25

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Solution

The third proportional to 87,648.75 and 128,675.25 is: 188,905.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,648.75 : 128,675.25 = 128,675.25 : x
  2. Step 2: Convert to fraction form
    87,648.75/128,675.25 = 128,675.25/x
  3. Step 3: Cross multiply
    87,648.75x = 128,675.25 × 128,675.25
  4. Step 4: Simplify right side
    87,648.75x = 16,557,319,962.56
  5. Step 5: Solve for x
    x = 16,557,319,962.56/87,648.75
  6. Step 6: Final answer
    x = 188,905.37

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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.