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Finding the Third Proportional to 87,121.50 and 128,130.38

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Solution

The third proportional to 87,121.50 and 128,130.38 is: 188,442.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,121.50 : 128,130.38 = 128,130.38 : x
  2. Step 2: Convert to fraction form
    87,121.50/128,130.38 = 128,130.38/x
  3. Step 3: Cross multiply
    87,121.50x = 128,130.38 × 128,130.38
  4. Step 4: Simplify right side
    87,121.50x = 16,417,392,997.64
  5. Step 5: Solve for x
    x = 16,417,392,997.64/87,121.50
  6. Step 6: Final answer
    x = 188,442.50

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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.