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Finding the Third Proportional to 336.73 and 520.10

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Solution

The third proportional to 336.73 and 520.10 is: 803.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.73 : 520.10 = 520.10 : x
  2. Step 2: Convert to fraction form
    336.73/520.10 = 520.10/x
  3. Step 3: Cross multiply
    336.73x = 520.10 × 520.10
  4. Step 4: Simplify right side
    336.73x = 270,505.64
  5. Step 5: Solve for x
    x = 270,505.64/336.73
  6. Step 6: Final answer
    x = 803.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.