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Finding the Third Proportional to 31.43 and 68.77

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Solution

The third proportional to 31.43 and 68.77 is: 150.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.43 : 68.77 = 68.77 : x
  2. Step 2: Convert to fraction form
    31.43/68.77 = 68.77/x
  3. Step 3: Cross multiply
    31.43x = 68.77 × 68.77
  4. Step 4: Simplify right side
    31.43x = 4,728.71
  5. Step 5: Solve for x
    x = 4,728.71/31.43
  6. Step 6: Final answer
    x = 150.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.