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Finding the Third Proportional to 28.88 and 64.11

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Solution

The third proportional to 28.88 and 64.11 is: 142.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.88 : 64.11 = 64.11 : x
  2. Step 2: Convert to fraction form
    28.88/64.11 = 64.11/x
  3. Step 3: Cross multiply
    28.88x = 64.11 × 64.11
  4. Step 4: Simplify right side
    28.88x = 4,109.76
  5. Step 5: Solve for x
    x = 4,109.76/28.88
  6. Step 6: Final answer
    x = 142.30

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.