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Finding the Third Proportional to 273.56 and 312.56

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Solution

The third proportional to 273.56 and 312.56 is: 357.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.56 : 312.56 = 312.56 : x
  2. Step 2: Convert to fraction form
    273.56/312.56 = 312.56/x
  3. Step 3: Cross multiply
    273.56x = 312.56 × 312.56
  4. Step 4: Simplify right side
    273.56x = 97,695.32
  5. Step 5: Solve for x
    x = 97,695.32/273.56
  6. Step 6: Final answer
    x = 357.12

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.