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Finding the Third Proportional to 28.13 and 66.23

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Solution

The third proportional to 28.13 and 66.23 is: 155.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.13 : 66.23 = 66.23 : x
  2. Step 2: Convert to fraction form
    28.13/66.23 = 66.23/x
  3. Step 3: Cross multiply
    28.13x = 66.23 × 66.23
  4. Step 4: Simplify right side
    28.13x = 4,386.99
  5. Step 5: Solve for x
    x = 4,386.99/28.13
  6. Step 6: Final answer
    x = 155.98

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.