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Finding the Third Proportional to 5,105 and 7,725

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Solution

The third proportional to 5,105 and 7,725 is: 11,689.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105 : 7,725 = 7,725 : x
  2. Step 2: Convert to fraction form
    5,105/7,725 = 7,725/x
  3. Step 3: Cross multiply
    5,105x = 7,725 × 7,725
  4. Step 4: Simplify right side
    5,105x = 59,675,625
  5. Step 5: Solve for x
    x = 59,675,625/5,105
  6. Step 6: Final answer
    x = 11,689.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.