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Finding the Third Proportional to 180,872 and 392,880

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Solution

The third proportional to 180,872 and 392,880 is: 853,391.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,872 : 392,880 = 392,880 : x
  2. Step 2: Convert to fraction form
    180,872/392,880 = 392,880/x
  3. Step 3: Cross multiply
    180,872x = 392,880 × 392,880
  4. Step 4: Simplify right side
    180,872x = 154,354,694,400
  5. Step 5: Solve for x
    x = 154,354,694,400/180,872
  6. Step 6: Final answer
    x = 853,391.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.