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Finding the Third Proportional to 57.66 and 150.05

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Solution

The third proportional to 57.66 and 150.05 is: 390.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.66 : 150.05 = 150.05 : x
  2. Step 2: Convert to fraction form
    57.66/150.05 = 150.05/x
  3. Step 3: Cross multiply
    57.66x = 150.05 × 150.05
  4. Step 4: Simplify right side
    57.66x = 22,514.06
  5. Step 5: Solve for x
    x = 22,514.06/57.66
  6. Step 6: Final answer
    x = 390.49

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.