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Finding the Third Proportional to 310.76 and 449.35

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Solution

The third proportional to 310.76 and 449.35 is: 649.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.76 : 449.35 = 449.35 : x
  2. Step 2: Convert to fraction form
    310.76/449.35 = 449.35/x
  3. Step 3: Cross multiply
    310.76x = 449.35 × 449.35
  4. Step 4: Simplify right side
    310.76x = 201,915.07
  5. Step 5: Solve for x
    x = 201,915.07/310.76
  6. Step 6: Final answer
    x = 649.74

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.