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Finding the Third Proportional to 147.37 and 216.78

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Solution

The third proportional to 147.37 and 216.78 is: 318.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.37 : 216.78 = 216.78 : x
  2. Step 2: Convert to fraction form
    147.37/216.78 = 216.78/x
  3. Step 3: Cross multiply
    147.37x = 216.78 × 216.78
  4. Step 4: Simplify right side
    147.37x = 46,992.63
  5. Step 5: Solve for x
    x = 46,992.63/147.37
  6. Step 6: Final answer
    x = 318.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.