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Finding the Third Proportional to 120,864 and 256,135

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Solution

The third proportional to 120,864 and 256,135 is: 542,801.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,864 : 256,135 = 256,135 : x
  2. Step 2: Convert to fraction form
    120,864/256,135 = 256,135/x
  3. Step 3: Cross multiply
    120,864x = 256,135 × 256,135
  4. Step 4: Simplify right side
    120,864x = 65,605,138,225
  5. Step 5: Solve for x
    x = 65,605,138,225/120,864
  6. Step 6: Final answer
    x = 542,801.32

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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.