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Finding the Third Proportional to 5,515.13 and 10,472.25

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Solution

The third proportional to 5,515.13 and 10,472.25 is: 19,884.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,515.13 : 10,472.25 = 10,472.25 : x
  2. Step 2: Convert to fraction form
    5,515.13/10,472.25 = 10,472.25/x
  3. Step 3: Cross multiply
    5,515.13x = 10,472.25 × 10,472.25
  4. Step 4: Simplify right side
    5,515.13x = 109,668,020.06
  5. Step 5: Solve for x
    x = 109,668,020.06/5,515.13
  6. Step 6: Final answer
    x = 19,884.96

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.