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Finding the Third Proportional to 263.88 and 410.77

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Solution

The third proportional to 263.88 and 410.77 is: 639.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.88 : 410.77 = 410.77 : x
  2. Step 2: Convert to fraction form
    263.88/410.77 = 410.77/x
  3. Step 3: Cross multiply
    263.88x = 410.77 × 410.77
  4. Step 4: Simplify right side
    263.88x = 168,735.62
  5. Step 5: Solve for x
    x = 168,735.62/263.88
  6. Step 6: Final answer
    x = 639.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.