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Finding the Third Proportional to 87,441 and 128,261.50

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Solution

The third proportional to 87,441 and 128,261.50 is: 188,138.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,441 : 128,261.50 = 128,261.50 : x
  2. Step 2: Convert to fraction form
    87,441/128,261.50 = 128,261.50/x
  3. Step 3: Cross multiply
    87,441x = 128,261.50 × 128,261.50
  4. Step 4: Simplify right side
    87,441x = 16,451,012,382.25
  5. Step 5: Solve for x
    x = 16,451,012,382.25/87,441
  6. Step 6: Final answer
    x = 188,138.43

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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.