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Finding the Third Proportional to 274,249.13 and 437,941.69

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Solution

The third proportional to 274,249.13 and 437,941.69 is: 699,338.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,249.13 : 437,941.69 = 437,941.69 : x
  2. Step 2: Convert to fraction form
    274,249.13/437,941.69 = 437,941.69/x
  3. Step 3: Cross multiply
    274,249.13x = 437,941.69 × 437,941.69
  4. Step 4: Simplify right side
    274,249.13x = 191,792,921,650.35
  5. Step 5: Solve for x
    x = 191,792,921,650.35/274,249.13
  6. Step 6: Final answer
    x = 699,338.32

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.