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Finding the Third Proportional to 121,474 and 266,864

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Solution

The third proportional to 121,474 and 266,864 is: 586,268.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,474 : 266,864 = 266,864 : x
  2. Step 2: Convert to fraction form
    121,474/266,864 = 266,864/x
  3. Step 3: Cross multiply
    121,474x = 266,864 × 266,864
  4. Step 4: Simplify right side
    121,474x = 71,216,394,496
  5. Step 5: Solve for x
    x = 71,216,394,496/121,474
  6. Step 6: Final answer
    x = 586,268.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.