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Finding the Third Proportional to 357.54 and 520.01

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Solution

The third proportional to 357.54 and 520.01 is: 756.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.54 : 520.01 = 520.01 : x
  2. Step 2: Convert to fraction form
    357.54/520.01 = 520.01/x
  3. Step 3: Cross multiply
    357.54x = 520.01 × 520.01
  4. Step 4: Simplify right side
    357.54x = 270,414.22
  5. Step 5: Solve for x
    x = 270,414.22/357.54
  6. Step 6: Final answer
    x = 756.32

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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.