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Finding the Third Proportional to 12,382 and 19,631

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Solution

The third proportional to 12,382 and 19,631 is: 31,123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382 : 19,631 = 19,631 : x
  2. Step 2: Convert to fraction form
    12,382/19,631 = 19,631/x
  3. Step 3: Cross multiply
    12,382x = 19,631 × 19,631
  4. Step 4: Simplify right side
    12,382x = 385,376,161
  5. Step 5: Solve for x
    x = 385,376,161/12,382
  6. Step 6: Final answer
    x = 31,123.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.