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Finding the Third Proportional to 75,612.75 and 114,027

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Solution

The third proportional to 75,612.75 and 114,027 is: 171,957.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,612.75 : 114,027 = 114,027 : x
  2. Step 2: Convert to fraction form
    75,612.75/114,027 = 114,027/x
  3. Step 3: Cross multiply
    75,612.75x = 114,027 × 114,027
  4. Step 4: Simplify right side
    75,612.75x = 13,002,156,729
  5. Step 5: Solve for x
    x = 13,002,156,729/75,612.75
  6. Step 6: Final answer
    x = 171,957.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.