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Finding the Third Proportional to 31.63 and 55.19

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Solution

The third proportional to 31.63 and 55.19 is: 96.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.63 : 55.19 = 55.19 : x
  2. Step 2: Convert to fraction form
    31.63/55.19 = 55.19/x
  3. Step 3: Cross multiply
    31.63x = 55.19 × 55.19
  4. Step 4: Simplify right side
    31.63x = 3,045.66
  5. Step 5: Solve for x
    x = 3,045.66/31.63
  6. Step 6: Final answer
    x = 96.31

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.