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Finding the Third Proportional to 9,750 and 11,190

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Solution

The third proportional to 9,750 and 11,190 is: 12,842.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750 : 11,190 = 11,190 : x
  2. Step 2: Convert to fraction form
    9,750/11,190 = 11,190/x
  3. Step 3: Cross multiply
    9,750x = 11,190 × 11,190
  4. Step 4: Simplify right side
    9,750x = 125,216,100
  5. Step 5: Solve for x
    x = 125,216,100/9,750
  6. Step 6: Final answer
    x = 12,842.68

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.