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Finding the Third Proportional to 3,952.13 and 4,635.56

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Solution

The third proportional to 3,952.13 and 4,635.56 is: 5,437.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.13 : 4,635.56 = 4,635.56 : x
  2. Step 2: Convert to fraction form
    3,952.13/4,635.56 = 4,635.56/x
  3. Step 3: Cross multiply
    3,952.13x = 4,635.56 × 4,635.56
  4. Step 4: Simplify right side
    3,952.13x = 21,488,439.69
  5. Step 5: Solve for x
    x = 21,488,439.69/3,952.13
  6. Step 6: Final answer
    x = 5,437.19

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.