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Finding the Third Proportional to 43.45 and 51.05

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Solution

The third proportional to 43.45 and 51.05 is: 59.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.45 : 51.05 = 51.05 : x
  2. Step 2: Convert to fraction form
    43.45/51.05 = 51.05/x
  3. Step 3: Cross multiply
    43.45x = 51.05 × 51.05
  4. Step 4: Simplify right side
    43.45x = 2,605.78
  5. Step 5: Solve for x
    x = 2,605.78/43.45
  6. Step 6: Final answer
    x = 59.97

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.