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Finding the Third Proportional to 179,854 and 391,442

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Solution

The third proportional to 179,854 and 391,442 is: 851,951.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,854 : 391,442 = 391,442 : x
  2. Step 2: Convert to fraction form
    179,854/391,442 = 391,442/x
  3. Step 3: Cross multiply
    179,854x = 391,442 × 391,442
  4. Step 4: Simplify right side
    179,854x = 153,226,839,364
  5. Step 5: Solve for x
    x = 153,226,839,364/179,854
  6. Step 6: Final answer
    x = 851,951.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.