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Finding the Third Proportional to 12.87 and 31.07

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Solution

The third proportional to 12.87 and 31.07 is: 75.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.87 : 31.07 = 31.07 : x
  2. Step 2: Convert to fraction form
    12.87/31.07 = 31.07/x
  3. Step 3: Cross multiply
    12.87x = 31.07 × 31.07
  4. Step 4: Simplify right side
    12.87x = 965.12
  5. Step 5: Solve for x
    x = 965.12/12.87
  6. Step 6: Final answer
    x = 75.01

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.