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Finding the Third Proportional to 57.75 and 147.88

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Solution

The third proportional to 57.75 and 147.88 is: 378.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.75 : 147.88 = 147.88 : x
  2. Step 2: Convert to fraction form
    57.75/147.88 = 147.88/x
  3. Step 3: Cross multiply
    57.75x = 147.88 × 147.88
  4. Step 4: Simplify right side
    57.75x = 21,867.02
  5. Step 5: Solve for x
    x = 21,867.02/57.75
  6. Step 6: Final answer
    x = 378.65

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.