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Finding the Third Proportional to 178,800 and 391,736

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Solution

The third proportional to 178,800 and 391,736 is: 858,261.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,800 : 391,736 = 391,736 : x
  2. Step 2: Convert to fraction form
    178,800/391,736 = 391,736/x
  3. Step 3: Cross multiply
    178,800x = 391,736 × 391,736
  4. Step 4: Simplify right side
    178,800x = 153,457,093,696
  5. Step 5: Solve for x
    x = 153,457,093,696/178,800
  6. Step 6: Final answer
    x = 858,261.15

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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.