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Finding the Third Proportional to 281.06 and 312.56

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Solution

The third proportional to 281.06 and 312.56 is: 347.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.06 : 312.56 = 312.56 : x
  2. Step 2: Convert to fraction form
    281.06/312.56 = 312.56/x
  3. Step 3: Cross multiply
    281.06x = 312.56 × 312.56
  4. Step 4: Simplify right side
    281.06x = 97,695.32
  5. Step 5: Solve for x
    x = 97,695.32/281.06
  6. Step 6: Final answer
    x = 347.59

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.