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Finding the Third Proportional to 87,406 and 131,541

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Solution

The third proportional to 87,406 and 131,541 is: 197,961.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,406 : 131,541 = 131,541 : x
  2. Step 2: Convert to fraction form
    87,406/131,541 = 131,541/x
  3. Step 3: Cross multiply
    87,406x = 131,541 × 131,541
  4. Step 4: Simplify right side
    87,406x = 17,303,034,681
  5. Step 5: Solve for x
    x = 17,303,034,681/87,406
  6. Step 6: Final answer
    x = 197,961.64

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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.