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Finding the Third Proportional to 44.06 and 93.19

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Solution

The third proportional to 44.06 and 93.19 is: 197.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.06 : 93.19 = 93.19 : x
  2. Step 2: Convert to fraction form
    44.06/93.19 = 93.19/x
  3. Step 3: Cross multiply
    44.06x = 93.19 × 93.19
  4. Step 4: Simplify right side
    44.06x = 8,683.91
  5. Step 5: Solve for x
    x = 8,683.91/44.06
  6. Step 6: Final answer
    x = 197.08

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.