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Finding the Third Proportional to 131,134 and 281,381

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Solution

The third proportional to 131,134 and 281,381 is: 603,773.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,134 : 281,381 = 281,381 : x
  2. Step 2: Convert to fraction form
    131,134/281,381 = 281,381/x
  3. Step 3: Cross multiply
    131,134x = 281,381 × 281,381
  4. Step 4: Simplify right side
    131,134x = 79,175,267,161
  5. Step 5: Solve for x
    x = 79,175,267,161/131,134
  6. Step 6: Final answer
    x = 603,773.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.