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Finding the Third Proportional to 179,138 and 391,022

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Solution

The third proportional to 179,138 and 391,022 is: 853,521.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,138 : 391,022 = 391,022 : x
  2. Step 2: Convert to fraction form
    179,138/391,022 = 391,022/x
  3. Step 3: Cross multiply
    179,138x = 391,022 × 391,022
  4. Step 4: Simplify right side
    179,138x = 152,898,204,484
  5. Step 5: Solve for x
    x = 152,898,204,484/179,138
  6. Step 6: Final answer
    x = 853,521.89

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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.