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Finding the Third Proportional to 7,561 and 11,736.50

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Solution

The third proportional to 7,561 and 11,736.50 is: 18,217.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,561 : 11,736.50 = 11,736.50 : x
  2. Step 2: Convert to fraction form
    7,561/11,736.50 = 11,736.50/x
  3. Step 3: Cross multiply
    7,561x = 11,736.50 × 11,736.50
  4. Step 4: Simplify right side
    7,561x = 137,745,432.25
  5. Step 5: Solve for x
    x = 137,745,432.25/7,561
  6. Step 6: Final answer
    x = 18,217.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.