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Finding the Third Proportional to 147.22 and 216.74

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Solution

The third proportional to 147.22 and 216.74 is: 319.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.22 : 216.74 = 216.74 : x
  2. Step 2: Convert to fraction form
    147.22/216.74 = 216.74/x
  3. Step 3: Cross multiply
    147.22x = 216.74 × 216.74
  4. Step 4: Simplify right side
    147.22x = 46,975.48
  5. Step 5: Solve for x
    x = 46,975.48/147.22
  6. Step 6: Final answer
    x = 319.09

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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.