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Finding the Third Proportional to 179,645 and 391,184

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Solution

The third proportional to 179,645 and 391,184 is: 851,818.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,645 : 391,184 = 391,184 : x
  2. Step 2: Convert to fraction form
    179,645/391,184 = 391,184/x
  3. Step 3: Cross multiply
    179,645x = 391,184 × 391,184
  4. Step 4: Simplify right side
    179,645x = 153,024,921,856
  5. Step 5: Solve for x
    x = 153,024,921,856/179,645
  6. Step 6: Final answer
    x = 851,818.43

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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.