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Finding the Third Proportional to 122,478 and 269,046

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Solution

The third proportional to 122,478 and 269,046 is: 591,010.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,478 : 269,046 = 269,046 : x
  2. Step 2: Convert to fraction form
    122,478/269,046 = 269,046/x
  3. Step 3: Cross multiply
    122,478x = 269,046 × 269,046
  4. Step 4: Simplify right side
    122,478x = 72,385,750,116
  5. Step 5: Solve for x
    x = 72,385,750,116/122,478
  6. Step 6: Final answer
    x = 591,010.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.