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Finding the Third Proportional to 178,452 and 261,720

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Solution

The third proportional to 178,452 and 261,720 is: 383,841.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,452 : 261,720 = 261,720 : x
  2. Step 2: Convert to fraction form
    178,452/261,720 = 261,720/x
  3. Step 3: Cross multiply
    178,452x = 261,720 × 261,720
  4. Step 4: Simplify right side
    178,452x = 68,497,358,400
  5. Step 5: Solve for x
    x = 68,497,358,400/178,452
  6. Step 6: Final answer
    x = 383,841.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.