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Finding the Third Proportional to 5,609 and 12,785

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Solution

The third proportional to 5,609 and 12,785 is: 29,141.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609 : 12,785 = 12,785 : x
  2. Step 2: Convert to fraction form
    5,609/12,785 = 12,785/x
  3. Step 3: Cross multiply
    5,609x = 12,785 × 12,785
  4. Step 4: Simplify right side
    5,609x = 163,456,225
  5. Step 5: Solve for x
    x = 163,456,225/5,609
  6. Step 6: Final answer
    x = 29,141.78

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.