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Finding the Third Proportional to 10,287 and 13,732.50

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Solution

The third proportional to 10,287 and 13,732.50 is: 18,332.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287 : 13,732.50 = 13,732.50 : x
  2. Step 2: Convert to fraction form
    10,287/13,732.50 = 13,732.50/x
  3. Step 3: Cross multiply
    10,287x = 13,732.50 × 13,732.50
  4. Step 4: Simplify right side
    10,287x = 188,581,556.25
  5. Step 5: Solve for x
    x = 188,581,556.25/10,287
  6. Step 6: Final answer
    x = 18,332.03

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.