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Finding the Third Proportional to 121,182 and 263,681

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Solution

The third proportional to 121,182 and 263,681 is: 573,745.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,182 : 263,681 = 263,681 : x
  2. Step 2: Convert to fraction form
    121,182/263,681 = 263,681/x
  3. Step 3: Cross multiply
    121,182x = 263,681 × 263,681
  4. Step 4: Simplify right side
    121,182x = 69,527,669,761
  5. Step 5: Solve for x
    x = 69,527,669,761/121,182
  6. Step 6: Final answer
    x = 573,745.85

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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.