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Finding the Third Proportional to 180,592 and 279,474

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Solution

The third proportional to 180,592 and 279,474 is: 432,498.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,592 : 279,474 = 279,474 : x
  2. Step 2: Convert to fraction form
    180,592/279,474 = 279,474/x
  3. Step 3: Cross multiply
    180,592x = 279,474 × 279,474
  4. Step 4: Simplify right side
    180,592x = 78,105,716,676
  5. Step 5: Solve for x
    x = 78,105,716,676/180,592
  6. Step 6: Final answer
    x = 432,498.21

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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.