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Finding the Third Proportional to 179,486 and 391,569

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Solution

The third proportional to 179,486 and 391,569 is: 854,252.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,486 : 391,569 = 391,569 : x
  2. Step 2: Convert to fraction form
    179,486/391,569 = 391,569/x
  3. Step 3: Cross multiply
    179,486x = 391,569 × 391,569
  4. Step 4: Simplify right side
    179,486x = 153,326,281,761
  5. Step 5: Solve for x
    x = 153,326,281,761/179,486
  6. Step 6: Final answer
    x = 854,252.04

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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.