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Finding the Third Proportional to 87,670 and 128,224.50

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Solution

The third proportional to 87,670 and 128,224.50 is: 187,538.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,670 : 128,224.50 = 128,224.50 : x
  2. Step 2: Convert to fraction form
    87,670/128,224.50 = 128,224.50/x
  3. Step 3: Cross multiply
    87,670x = 128,224.50 × 128,224.50
  4. Step 4: Simplify right side
    87,670x = 16,441,522,400.25
  5. Step 5: Solve for x
    x = 16,441,522,400.25/87,670
  6. Step 6: Final answer
    x = 187,538.75

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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.