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Finding the Third Proportional to 131,471 and 287,257

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Solution

The third proportional to 131,471 and 287,257 is: 627,640.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,471 : 287,257 = 287,257 : x
  2. Step 2: Convert to fraction form
    131,471/287,257 = 287,257/x
  3. Step 3: Cross multiply
    131,471x = 287,257 × 287,257
  4. Step 4: Simplify right side
    131,471x = 82,516,584,049
  5. Step 5: Solve for x
    x = 82,516,584,049/131,471
  6. Step 6: Final answer
    x = 627,640.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.