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Finding the Third Proportional to 43.03 and 55.90

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Solution

The third proportional to 43.03 and 55.90 is: 72.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.03 : 55.90 = 55.90 : x
  2. Step 2: Convert to fraction form
    43.03/55.90 = 55.90/x
  3. Step 3: Cross multiply
    43.03x = 55.90 × 55.90
  4. Step 4: Simplify right side
    43.03x = 3,124.64
  5. Step 5: Solve for x
    x = 3,124.64/43.03
  6. Step 6: Final answer
    x = 72.61

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.