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Finding the Third Proportional to 147.66 and 208.27

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Solution

The third proportional to 147.66 and 208.27 is: 293.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.66 : 208.27 = 208.27 : x
  2. Step 2: Convert to fraction form
    147.66/208.27 = 208.27/x
  3. Step 3: Cross multiply
    147.66x = 208.27 × 208.27
  4. Step 4: Simplify right side
    147.66x = 43,374.57
  5. Step 5: Solve for x
    x = 43,374.57/147.66
  6. Step 6: Final answer
    x = 293.75

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.