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Finding the Third Proportional to 120,168.75 and 256,421.25

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Solution

The third proportional to 120,168.75 and 256,421.25 is: 547,162.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,168.75 : 256,421.25 = 256,421.25 : x
  2. Step 2: Convert to fraction form
    120,168.75/256,421.25 = 256,421.25/x
  3. Step 3: Cross multiply
    120,168.75x = 256,421.25 × 256,421.25
  4. Step 4: Simplify right side
    120,168.75x = 65,751,857,451.56
  5. Step 5: Solve for x
    x = 65,751,857,451.56/120,168.75
  6. Step 6: Final answer
    x = 547,162.70

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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.