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Finding the Third Proportional to 12.56 and 31.10

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Solution

The third proportional to 12.56 and 31.10 is: 77.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.56 : 31.10 = 31.10 : x
  2. Step 2: Convert to fraction form
    12.56/31.10 = 31.10/x
  3. Step 3: Cross multiply
    12.56x = 31.10 × 31.10
  4. Step 4: Simplify right side
    12.56x = 967.31
  5. Step 5: Solve for x
    x = 967.31/12.56
  6. Step 6: Final answer
    x = 77.00

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.