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Finding the Third Proportional to 121,471 and 250,723

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Solution

The third proportional to 121,471 and 250,723 is: 517,506.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,471 : 250,723 = 250,723 : x
  2. Step 2: Convert to fraction form
    121,471/250,723 = 250,723/x
  3. Step 3: Cross multiply
    121,471x = 250,723 × 250,723
  4. Step 4: Simplify right side
    121,471x = 62,862,022,729
  5. Step 5: Solve for x
    x = 62,862,022,729/121,471
  6. Step 6: Final answer
    x = 517,506.42

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.