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Finding the Third Proportional to 310.76 and 676.99

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Solution

The third proportional to 310.76 and 676.99 is: 1,474.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.76 : 676.99 = 676.99 : x
  2. Step 2: Convert to fraction form
    310.76/676.99 = 676.99/x
  3. Step 3: Cross multiply
    310.76x = 676.99 × 676.99
  4. Step 4: Simplify right side
    310.76x = 458,318.42
  5. Step 5: Solve for x
    x = 458,318.42/310.76
  6. Step 6: Final answer
    x = 1,474.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.