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Finding the Third Proportional to 7,215.75 and 11,491.88

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Solution

The third proportional to 7,215.75 and 11,491.88 is: 18,302.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,215.75 : 11,491.88 = 11,491.88 : x
  2. Step 2: Convert to fraction form
    7,215.75/11,491.88 = 11,491.88/x
  3. Step 3: Cross multiply
    7,215.75x = 11,491.88 × 11,491.88
  4. Step 4: Simplify right side
    7,215.75x = 132,063,191.02
  5. Step 5: Solve for x
    x = 132,063,191.02/7,215.75
  6. Step 6: Final answer
    x = 18,302.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.