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Finding the Third Proportional to 345.75 and 520.38

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Solution

The third proportional to 345.75 and 520.38 is: 783.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.75 : 520.38 = 520.38 : x
  2. Step 2: Convert to fraction form
    345.75/520.38 = 520.38/x
  3. Step 3: Cross multiply
    345.75x = 520.38 × 520.38
  4. Step 4: Simplify right side
    345.75x = 270,790.14
  5. Step 5: Solve for x
    x = 270,790.14/345.75
  6. Step 6: Final answer
    x = 783.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.