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Finding the Third Proportional to 87,489 and 131,567.06

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Solution

The third proportional to 87,489 and 131,567.06 is: 197,852.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,489 : 131,567.06 = 131,567.06 : x
  2. Step 2: Convert to fraction form
    87,489/131,567.06 = 131,567.06/x
  3. Step 3: Cross multiply
    87,489x = 131,567.06 × 131,567.06
  4. Step 4: Simplify right side
    87,489x = 17,309,891,934.88
  5. Step 5: Solve for x
    x = 17,309,891,934.88/87,489
  6. Step 6: Final answer
    x = 197,852.21

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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.