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Finding the Third Proportional to 9,432 and 19,782

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Solution

The third proportional to 9,432 and 19,782 is: 41,489.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432 : 19,782 = 19,782 : x
  2. Step 2: Convert to fraction form
    9,432/19,782 = 19,782/x
  3. Step 3: Cross multiply
    9,432x = 19,782 × 19,782
  4. Step 4: Simplify right side
    9,432x = 391,327,524
  5. Step 5: Solve for x
    x = 391,327,524/9,432
  6. Step 6: Final answer
    x = 41,489.35

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.