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Finding the Third Proportional to 178,268 and 391,531

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Solution

The third proportional to 178,268 and 391,531 is: 859,921.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,268 : 391,531 = 391,531 : x
  2. Step 2: Convert to fraction form
    178,268/391,531 = 391,531/x
  3. Step 3: Cross multiply
    178,268x = 391,531 × 391,531
  4. Step 4: Simplify right side
    178,268x = 153,296,523,961
  5. Step 5: Solve for x
    x = 153,296,523,961/178,268
  6. Step 6: Final answer
    x = 859,921.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.