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Finding the Third Proportional to 7,665 and 10,847

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Solution

The third proportional to 7,665 and 10,847 is: 15,349.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665 : 10,847 = 10,847 : x
  2. Step 2: Convert to fraction form
    7,665/10,847 = 10,847/x
  3. Step 3: Cross multiply
    7,665x = 10,847 × 10,847
  4. Step 4: Simplify right side
    7,665x = 117,657,409
  5. Step 5: Solve for x
    x = 117,657,409/7,665
  6. Step 6: Final answer
    x = 15,349.96

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.