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Finding the Third Proportional to 45.56 and 66.23

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Solution

The third proportional to 45.56 and 66.23 is: 96.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.56 : 66.23 = 66.23 : x
  2. Step 2: Convert to fraction form
    45.56/66.23 = 66.23/x
  3. Step 3: Cross multiply
    45.56x = 66.23 × 66.23
  4. Step 4: Simplify right side
    45.56x = 4,386.99
  5. Step 5: Solve for x
    x = 4,386.99/45.56
  6. Step 6: Final answer
    x = 96.29

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.