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Finding the Third Proportional to 7,725 and 13,695

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Solution

The third proportional to 7,725 and 13,695 is: 24,278.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725 : 13,695 = 13,695 : x
  2. Step 2: Convert to fraction form
    7,725/13,695 = 13,695/x
  3. Step 3: Cross multiply
    7,725x = 13,695 × 13,695
  4. Step 4: Simplify right side
    7,725x = 187,553,025
  5. Step 5: Solve for x
    x = 187,553,025/7,725
  6. Step 6: Final answer
    x = 24,278.71

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.