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Finding the Third Proportional to 299.64 and 346.15

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Solution

The third proportional to 299.64 and 346.15 is: 399.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.64 : 346.15 = 346.15 : x
  2. Step 2: Convert to fraction form
    299.64/346.15 = 346.15/x
  3. Step 3: Cross multiply
    299.64x = 346.15 × 346.15
  4. Step 4: Simplify right side
    299.64x = 119,818.74
  5. Step 5: Solve for x
    x = 119,818.74/299.64
  6. Step 6: Final answer
    x = 399.88

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.