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Finding the Third Proportional to 64.78 and 73.03

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Solution

The third proportional to 64.78 and 73.03 is: 82.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.78 : 73.03 = 73.03 : x
  2. Step 2: Convert to fraction form
    64.78/73.03 = 73.03/x
  3. Step 3: Cross multiply
    64.78x = 73.03 × 73.03
  4. Step 4: Simplify right side
    64.78x = 5,333.56
  5. Step 5: Solve for x
    x = 5,333.56/64.78
  6. Step 6: Final answer
    x = 82.33

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.