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Finding the Third Proportional to 265.36 and 409.85

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Solution

The third proportional to 265.36 and 409.85 is: 633.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.36 : 409.85 = 409.85 : x
  2. Step 2: Convert to fraction form
    265.36/409.85 = 409.85/x
  3. Step 3: Cross multiply
    265.36x = 409.85 × 409.85
  4. Step 4: Simplify right side
    265.36x = 167,978.30
  5. Step 5: Solve for x
    x = 167,978.30/265.36
  6. Step 6: Final answer
    x = 633.02

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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.