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Finding the Third Proportional to 87,165 and 130,630.50

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Solution

The third proportional to 87,165 and 130,630.50 is: 195,770.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,165 : 130,630.50 = 130,630.50 : x
  2. Step 2: Convert to fraction form
    87,165/130,630.50 = 130,630.50/x
  3. Step 3: Cross multiply
    87,165x = 130,630.50 × 130,630.50
  4. Step 4: Simplify right side
    87,165x = 17,064,327,530.25
  5. Step 5: Solve for x
    x = 17,064,327,530.25/87,165
  6. Step 6: Final answer
    x = 195,770.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.