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Finding the Third Proportional to 109.41 and 147.66

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Solution

The third proportional to 109.41 and 147.66 is: 199.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.41 : 147.66 = 147.66 : x
  2. Step 2: Convert to fraction form
    109.41/147.66 = 147.66/x
  3. Step 3: Cross multiply
    109.41x = 147.66 × 147.66
  4. Step 4: Simplify right side
    109.41x = 21,802.37
  5. Step 5: Solve for x
    x = 21,802.37/109.41
  6. Step 6: Final answer
    x = 199.28

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.