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Finding the Third Proportional to 325.30 and 520.30

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Solution

The third proportional to 325.30 and 520.30 is: 832.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.30 : 520.30 = 520.30 : x
  2. Step 2: Convert to fraction form
    325.30/520.30 = 520.30/x
  3. Step 3: Cross multiply
    325.30x = 520.30 × 520.30
  4. Step 4: Simplify right side
    325.30x = 270,708.84
  5. Step 5: Solve for x
    x = 270,708.84/325.30
  6. Step 6: Final answer
    x = 832.19

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.