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Finding the Third Proportional to 87,682.50 and 193,239

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Solution

The third proportional to 87,682.50 and 193,239 is: 425,869.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,682.50 : 193,239 = 193,239 : x
  2. Step 2: Convert to fraction form
    87,682.50/193,239 = 193,239/x
  3. Step 3: Cross multiply
    87,682.50x = 193,239 × 193,239
  4. Step 4: Simplify right side
    87,682.50x = 37,341,311,121
  5. Step 5: Solve for x
    x = 37,341,311,121/87,682.50
  6. Step 6: Final answer
    x = 425,869.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.