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Finding the Third Proportional to 178,788 and 391,716

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Solution

The third proportional to 178,788 and 391,716 is: 858,231.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,788 : 391,716 = 391,716 : x
  2. Step 2: Convert to fraction form
    178,788/391,716 = 391,716/x
  3. Step 3: Cross multiply
    178,788x = 391,716 × 391,716
  4. Step 4: Simplify right side
    178,788x = 153,441,424,656
  5. Step 5: Solve for x
    x = 153,441,424,656/178,788
  6. Step 6: Final answer
    x = 858,231.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.