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Finding the Third Proportional to 31 and 64

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Solution

The third proportional to 31 and 64 is: 132.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31 : 64 = 64 : x
  2. Step 2: Convert to fraction form
    31/64 = 64/x
  3. Step 3: Cross multiply
    31x = 64 × 64
  4. Step 4: Simplify right side
    31x = 4,096
  5. Step 5: Solve for x
    x = 4,096/31
  6. Step 6: Final answer
    x = 132.13

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.