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Finding the Third Proportional to 397,986.75 and 561,330

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Solution

The third proportional to 397,986.75 and 561,330 is: 791,713.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,986.75 : 561,330 = 561,330 : x
  2. Step 2: Convert to fraction form
    397,986.75/561,330 = 561,330/x
  3. Step 3: Cross multiply
    397,986.75x = 561,330 × 561,330
  4. Step 4: Simplify right side
    397,986.75x = 315,091,368,900
  5. Step 5: Solve for x
    x = 315,091,368,900/397,986.75
  6. Step 6: Final answer
    x = 791,713.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.