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Finding the Third Proportional to 121,214 and 263,791

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Solution

The third proportional to 121,214 and 263,791 is: 574,073.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,214 : 263,791 = 263,791 : x
  2. Step 2: Convert to fraction form
    121,214/263,791 = 263,791/x
  3. Step 3: Cross multiply
    121,214x = 263,791 × 263,791
  4. Step 4: Simplify right side
    121,214x = 69,585,691,681
  5. Step 5: Solve for x
    x = 69,585,691,681/121,214
  6. Step 6: Final answer
    x = 574,073.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.