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Finding the Third Proportional to 28.48 and 67.08

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Solution

The third proportional to 28.48 and 67.08 is: 158.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.48 : 67.08 = 67.08 : x
  2. Step 2: Convert to fraction form
    28.48/67.08 = 67.08/x
  3. Step 3: Cross multiply
    28.48x = 67.08 × 67.08
  4. Step 4: Simplify right side
    28.48x = 4,499.47
  5. Step 5: Solve for x
    x = 4,499.47/28.48
  6. Step 6: Final answer
    x = 158.01

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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.