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Finding the Third Proportional to 87,399 and 132,709.50

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Solution

The third proportional to 87,399 and 132,709.50 is: 201,510.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,399 : 132,709.50 = 132,709.50 : x
  2. Step 2: Convert to fraction form
    87,399/132,709.50 = 132,709.50/x
  3. Step 3: Cross multiply
    87,399x = 132,709.50 × 132,709.50
  4. Step 4: Simplify right side
    87,399x = 17,611,811,390.25
  5. Step 5: Solve for x
    x = 17,611,811,390.25/87,399
  6. Step 6: Final answer
    x = 201,510.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.