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Finding the Third Proportional to 87,405.50 and 132,290.50

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Solution

The third proportional to 87,405.50 and 132,290.50 is: 200,225.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,405.50 : 132,290.50 = 132,290.50 : x
  2. Step 2: Convert to fraction form
    87,405.50/132,290.50 = 132,290.50/x
  3. Step 3: Cross multiply
    87,405.50x = 132,290.50 × 132,290.50
  4. Step 4: Simplify right side
    87,405.50x = 17,500,776,390.25
  5. Step 5: Solve for x
    x = 17,500,776,390.25/87,405.50
  6. Step 6: Final answer
    x = 200,225.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.