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Finding the Third Proportional to 10,193 and 15,686.75

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Solution

The third proportional to 10,193 and 15,686.75 is: 24,141.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,193 : 15,686.75 = 15,686.75 : x
  2. Step 2: Convert to fraction form
    10,193/15,686.75 = 15,686.75/x
  3. Step 3: Cross multiply
    10,193x = 15,686.75 × 15,686.75
  4. Step 4: Simplify right side
    10,193x = 246,074,125.56
  5. Step 5: Solve for x
    x = 246,074,125.56/10,193
  6. Step 6: Final answer
    x = 24,141.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.