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Finding the Third Proportional to 215,822 and 338,561

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Solution

The third proportional to 215,822 and 338,561 is: 531,102.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,822 : 338,561 = 338,561 : x
  2. Step 2: Convert to fraction form
    215,822/338,561 = 338,561/x
  3. Step 3: Cross multiply
    215,822x = 338,561 × 338,561
  4. Step 4: Simplify right side
    215,822x = 114,623,550,721
  5. Step 5: Solve for x
    x = 114,623,550,721/215,822
  6. Step 6: Final answer
    x = 531,102.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.