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Finding the Third Proportional to 85,320 and 180,474

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Solution

The third proportional to 85,320 and 180,474 is: 381,749.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,320 : 180,474 = 180,474 : x
  2. Step 2: Convert to fraction form
    85,320/180,474 = 180,474/x
  3. Step 3: Cross multiply
    85,320x = 180,474 × 180,474
  4. Step 4: Simplify right side
    85,320x = 32,570,864,676
  5. Step 5: Solve for x
    x = 32,570,864,676/85,320
  6. Step 6: Final answer
    x = 381,749.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.