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Finding the Third Proportional to 180,378 and 281,481

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Solution

The third proportional to 180,378 and 281,481 is: 439,252.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,378 : 281,481 = 281,481 : x
  2. Step 2: Convert to fraction form
    180,378/281,481 = 281,481/x
  3. Step 3: Cross multiply
    180,378x = 281,481 × 281,481
  4. Step 4: Simplify right side
    180,378x = 79,231,553,361
  5. Step 5: Solve for x
    x = 79,231,553,361/180,378
  6. Step 6: Final answer
    x = 439,252.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.