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Finding the Third Proportional to 31 and 63

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Solution

The third proportional to 31 and 63 is: 128.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31 : 63 = 63 : x
  2. Step 2: Convert to fraction form
    31/63 = 63/x
  3. Step 3: Cross multiply
    31x = 63 × 63
  4. Step 4: Simplify right side
    31x = 3,969
  5. Step 5: Solve for x
    x = 3,969/31
  6. Step 6: Final answer
    x = 128.03

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.