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Finding the Third Proportional to 31.36 and 51.40

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Solution

The third proportional to 31.36 and 51.40 is: 84.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.36 : 51.40 = 51.40 : x
  2. Step 2: Convert to fraction form
    31.36/51.40 = 51.40/x
  3. Step 3: Cross multiply
    31.36x = 51.40 × 51.40
  4. Step 4: Simplify right side
    31.36x = 2,641.80
  5. Step 5: Solve for x
    x = 2,641.80/31.36
  6. Step 6: Final answer
    x = 84.24

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.