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Finding the Third Proportional to 65.25 and 72.28

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Solution

The third proportional to 65.25 and 72.28 is: 80.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.25 : 72.28 = 72.28 : x
  2. Step 2: Convert to fraction form
    65.25/72.28 = 72.28/x
  3. Step 3: Cross multiply
    65.25x = 72.28 × 72.28
  4. Step 4: Simplify right side
    65.25x = 5,224.58
  5. Step 5: Solve for x
    x = 5,224.58/65.25
  6. Step 6: Final answer
    x = 80.07

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.