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Finding the Third Proportional to 40,162.50 and 87,239

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Solution

The third proportional to 40,162.50 and 87,239 is: 189,496.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,162.50 : 87,239 = 87,239 : x
  2. Step 2: Convert to fraction form
    40,162.50/87,239 = 87,239/x
  3. Step 3: Cross multiply
    40,162.50x = 87,239 × 87,239
  4. Step 4: Simplify right side
    40,162.50x = 7,610,643,121
  5. Step 5: Solve for x
    x = 7,610,643,121/40,162.50
  6. Step 6: Final answer
    x = 189,496.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.