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Finding the Third Proportional to 381,421.13 and 560,305.69

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Solution

The third proportional to 381,421.13 and 560,305.69 is: 823,086.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,421.13 : 560,305.69 = 560,305.69 : x
  2. Step 2: Convert to fraction form
    381,421.13/560,305.69 = 560,305.69/x
  3. Step 3: Cross multiply
    381,421.13x = 560,305.69 × 560,305.69
  4. Step 4: Simplify right side
    381,421.13x = 313,942,463,444.85
  5. Step 5: Solve for x
    x = 313,942,463,444.85/381,421.13
  6. Step 6: Final answer
    x = 823,086.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.