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Finding the Third Proportional to 121,683 and 261,474

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Solution

The third proportional to 121,683 and 261,474 is: 561,858.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,683 : 261,474 = 261,474 : x
  2. Step 2: Convert to fraction form
    121,683/261,474 = 261,474/x
  3. Step 3: Cross multiply
    121,683x = 261,474 × 261,474
  4. Step 4: Simplify right side
    121,683x = 68,368,652,676
  5. Step 5: Solve for x
    x = 68,368,652,676/121,683
  6. Step 6: Final answer
    x = 561,858.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.