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Finding the Third Proportional to 263.88 and 419.94

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Solution

The third proportional to 263.88 and 419.94 is: 668.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.88 : 419.94 = 419.94 : x
  2. Step 2: Convert to fraction form
    263.88/419.94 = 419.94/x
  3. Step 3: Cross multiply
    263.88x = 419.94 × 419.94
  4. Step 4: Simplify right side
    263.88x = 176,347.50
  5. Step 5: Solve for x
    x = 176,347.50/263.88
  6. Step 6: Final answer
    x = 668.30

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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.