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Finding the Third Proportional to 91,396 and 211,786

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Solution

The third proportional to 91,396 and 211,786 is: 490,757.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,396 : 211,786 = 211,786 : x
  2. Step 2: Convert to fraction form
    91,396/211,786 = 211,786/x
  3. Step 3: Cross multiply
    91,396x = 211,786 × 211,786
  4. Step 4: Simplify right side
    91,396x = 44,853,309,796
  5. Step 5: Solve for x
    x = 44,853,309,796/91,396
  6. Step 6: Final answer
    x = 490,757.91

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.