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Finding the Third Proportional to 265.78 and 375.75

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Solution

The third proportional to 265.78 and 375.75 is: 531.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.78 : 375.75 = 375.75 : x
  2. Step 2: Convert to fraction form
    265.78/375.75 = 375.75/x
  3. Step 3: Cross multiply
    265.78x = 375.75 × 375.75
  4. Step 4: Simplify right side
    265.78x = 141,188.06
  5. Step 5: Solve for x
    x = 141,188.06/265.78
  6. Step 6: Final answer
    x = 531.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.