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Finding the Third Proportional to 274,249.13 and 426,309.75

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Solution

The third proportional to 274,249.13 and 426,309.75 is: 662,682.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,249.13 : 426,309.75 = 426,309.75 : x
  2. Step 2: Convert to fraction form
    274,249.13/426,309.75 = 426,309.75/x
  3. Step 3: Cross multiply
    274,249.13x = 426,309.75 × 426,309.75
  4. Step 4: Simplify right side
    274,249.13x = 181,740,002,945.06
  5. Step 5: Solve for x
    x = 181,740,002,945.06/274,249.13
  6. Step 6: Final answer
    x = 662,682.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.