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Finding the Third Proportional to 256.31 and 312.56

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Solution

The third proportional to 256.31 and 312.56 is: 381.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.31 : 312.56 = 312.56 : x
  2. Step 2: Convert to fraction form
    256.31/312.56 = 312.56/x
  3. Step 3: Cross multiply
    256.31x = 312.56 × 312.56
  4. Step 4: Simplify right side
    256.31x = 97,695.32
  5. Step 5: Solve for x
    x = 97,695.32/256.31
  6. Step 6: Final answer
    x = 381.16

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.