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Finding the Third Proportional to 122,813 and 269,008

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Solution

The third proportional to 122,813 and 269,008 is: 589,231.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,813 : 269,008 = 269,008 : x
  2. Step 2: Convert to fraction form
    122,813/269,008 = 269,008/x
  3. Step 3: Cross multiply
    122,813x = 269,008 × 269,008
  4. Step 4: Simplify right side
    122,813x = 72,365,304,064
  5. Step 5: Solve for x
    x = 72,365,304,064/122,813
  6. Step 6: Final answer
    x = 589,231.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.