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Finding the Third Proportional to 274,321.50 and 391,524.75

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Solution

The third proportional to 274,321.50 and 391,524.75 is: 558,802.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,321.50 : 391,524.75 = 391,524.75 : x
  2. Step 2: Convert to fraction form
    274,321.50/391,524.75 = 391,524.75/x
  3. Step 3: Cross multiply
    274,321.50x = 391,524.75 × 391,524.75
  4. Step 4: Simplify right side
    274,321.50x = 153,291,629,862.56
  5. Step 5: Solve for x
    x = 153,291,629,862.56/274,321.50
  6. Step 6: Final answer
    x = 558,802.83

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.