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Finding the Third Proportional to 131,131 and 281,378

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Solution

The third proportional to 131,131 and 281,378 is: 603,774.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,131 : 281,378 = 281,378 : x
  2. Step 2: Convert to fraction form
    131,131/281,378 = 281,378/x
  3. Step 3: Cross multiply
    131,131x = 281,378 × 281,378
  4. Step 4: Simplify right side
    131,131x = 79,173,578,884
  5. Step 5: Solve for x
    x = 79,173,578,884/131,131
  6. Step 6: Final answer
    x = 603,774.69

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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.