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Finding the Third Proportional to 120,869 and 256,145

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Solution

The third proportional to 120,869 and 256,145 is: 542,821.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,869 : 256,145 = 256,145 : x
  2. Step 2: Convert to fraction form
    120,869/256,145 = 256,145/x
  3. Step 3: Cross multiply
    120,869x = 256,145 × 256,145
  4. Step 4: Simplify right side
    120,869x = 65,610,261,025
  5. Step 5: Solve for x
    x = 65,610,261,025/120,869
  6. Step 6: Final answer
    x = 542,821.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.