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Finding the Third Proportional to 263.67 and 419.77

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Solution

The third proportional to 263.67 and 419.77 is: 668.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.67 : 419.77 = 419.77 : x
  2. Step 2: Convert to fraction form
    263.67/419.77 = 419.77/x
  3. Step 3: Cross multiply
    263.67x = 419.77 × 419.77
  4. Step 4: Simplify right side
    263.67x = 176,203.18
  5. Step 5: Solve for x
    x = 176,203.18/263.67
  6. Step 6: Final answer
    x = 668.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.