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Finding the Third Proportional to 31.80 and 70.24

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Solution

The third proportional to 31.80 and 70.24 is: 155.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.80 : 70.24 = 70.24 : x
  2. Step 2: Convert to fraction form
    31.80/70.24 = 70.24/x
  3. Step 3: Cross multiply
    31.80x = 70.24 × 70.24
  4. Step 4: Simplify right side
    31.80x = 4,933.96
  5. Step 5: Solve for x
    x = 4,933.96/31.80
  6. Step 6: Final answer
    x = 155.16

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.