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Finding the Third Proportional to 310.56 and 511.44

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Solution

The third proportional to 310.56 and 511.44 is: 842.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.56 : 511.44 = 511.44 : x
  2. Step 2: Convert to fraction form
    310.56/511.44 = 511.44/x
  3. Step 3: Cross multiply
    310.56x = 511.44 × 511.44
  4. Step 4: Simplify right side
    310.56x = 261,568.32
  5. Step 5: Solve for x
    x = 261,568.32/310.56
  6. Step 6: Final answer
    x = 842.24

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.