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Finding the Third Proportional to 7,409 and 17,488.75

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Solution

The third proportional to 7,409 and 17,488.75 is: 41,281.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409 : 17,488.75 = 17,488.75 : x
  2. Step 2: Convert to fraction form
    7,409/17,488.75 = 17,488.75/x
  3. Step 3: Cross multiply
    7,409x = 17,488.75 × 17,488.75
  4. Step 4: Simplify right side
    7,409x = 305,856,376.56
  5. Step 5: Solve for x
    x = 305,856,376.56/7,409
  6. Step 6: Final answer
    x = 41,281.74

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.