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Finding the Third Proportional to 179,488 and 391,573

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Solution

The third proportional to 179,488 and 391,573 is: 854,259.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,488 : 391,573 = 391,573 : x
  2. Step 2: Convert to fraction form
    179,488/391,573 = 391,573/x
  3. Step 3: Cross multiply
    179,488x = 391,573 × 391,573
  4. Step 4: Simplify right side
    179,488x = 153,329,414,329
  5. Step 5: Solve for x
    x = 153,329,414,329/179,488
  6. Step 6: Final answer
    x = 854,259.97

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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.