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Finding the Third Proportional to 10,700 and 15,847

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Solution

The third proportional to 10,700 and 15,847 is: 23,469.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700 : 15,847 = 15,847 : x
  2. Step 2: Convert to fraction form
    10,700/15,847 = 15,847/x
  3. Step 3: Cross multiply
    10,700x = 15,847 × 15,847
  4. Step 4: Simplify right side
    10,700x = 251,127,409
  5. Step 5: Solve for x
    x = 251,127,409/10,700
  6. Step 6: Final answer
    x = 23,469.85

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.