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Finding the Third Proportional to 131,382 and 204,138

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Solution

The third proportional to 131,382 and 204,138 is: 317,184.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,382 : 204,138 = 204,138 : x
  2. Step 2: Convert to fraction form
    131,382/204,138 = 204,138/x
  3. Step 3: Cross multiply
    131,382x = 204,138 × 204,138
  4. Step 4: Simplify right side
    131,382x = 41,672,323,044
  5. Step 5: Solve for x
    x = 41,672,323,044/131,382
  6. Step 6: Final answer
    x = 317,184.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.