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Finding the Third Proportional to 120,381.75 and 256,313.25

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Solution

The third proportional to 120,381.75 and 256,313.25 is: 545,734.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,381.75 : 256,313.25 = 256,313.25 : x
  2. Step 2: Convert to fraction form
    120,381.75/256,313.25 = 256,313.25/x
  3. Step 3: Cross multiply
    120,381.75x = 256,313.25 × 256,313.25
  4. Step 4: Simplify right side
    120,381.75x = 65,696,482,125.56
  5. Step 5: Solve for x
    x = 65,696,482,125.56/120,381.75
  6. Step 6: Final answer
    x = 545,734.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.