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Finding the Third Proportional to 336.09 and 502.73

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Solution

The third proportional to 336.09 and 502.73 is: 752.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.09 : 502.73 = 502.73 : x
  2. Step 2: Convert to fraction form
    336.09/502.73 = 502.73/x
  3. Step 3: Cross multiply
    336.09x = 502.73 × 502.73
  4. Step 4: Simplify right side
    336.09x = 252,741.85
  5. Step 5: Solve for x
    x = 252,741.85/336.09
  6. Step 6: Final answer
    x = 752.00

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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.