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Finding the Third Proportional to 336.38 and 505.69

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Solution

The third proportional to 336.38 and 505.69 is: 760.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.38 : 505.69 = 505.69 : x
  2. Step 2: Convert to fraction form
    336.38/505.69 = 505.69/x
  3. Step 3: Cross multiply
    336.38x = 505.69 × 505.69
  4. Step 4: Simplify right side
    336.38x = 255,719.85
  5. Step 5: Solve for x
    x = 255,719.85/336.38
  6. Step 6: Final answer
    x = 760.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.