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Finding the Third Proportional to 43.66 and 93.02

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Solution

The third proportional to 43.66 and 93.02 is: 198.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.66 : 93.02 = 93.02 : x
  2. Step 2: Convert to fraction form
    43.66/93.02 = 93.02/x
  3. Step 3: Cross multiply
    43.66x = 93.02 × 93.02
  4. Step 4: Simplify right side
    43.66x = 8,653.36
  5. Step 5: Solve for x
    x = 8,653.36/43.66
  6. Step 6: Final answer
    x = 198.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.