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Finding the Third Proportional to 271,738.13 and 391,933.69

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Solution

The third proportional to 271,738.13 and 391,933.69 is: 565,294.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,738.13 : 391,933.69 = 391,933.69 : x
  2. Step 2: Convert to fraction form
    271,738.13/391,933.69 = 391,933.69/x
  3. Step 3: Cross multiply
    271,738.13x = 391,933.69 × 391,933.69
  4. Step 4: Simplify right side
    271,738.13x = 153,612,015,397.35
  5. Step 5: Solve for x
    x = 153,612,015,397.35/271,738.13
  6. Step 6: Final answer
    x = 565,294.31

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.