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Finding the Third Proportional to 4,489.59 and 7,129.27

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Solution

The third proportional to 4,489.59 and 7,129.27 is: 11,320.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489.59 : 7,129.27 = 7,129.27 : x
  2. Step 2: Convert to fraction form
    4,489.59/7,129.27 = 7,129.27/x
  3. Step 3: Cross multiply
    4,489.59x = 7,129.27 × 7,129.27
  4. Step 4: Simplify right side
    4,489.59x = 50,826,428.35
  5. Step 5: Solve for x
    x = 50,826,428.35/4,489.59
  6. Step 6: Final answer
    x = 11,320.94

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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.