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Finding the Third Proportional to 260.46 and 403.80

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Solution

The third proportional to 260.46 and 403.80 is: 626.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.46 : 403.80 = 403.80 : x
  2. Step 2: Convert to fraction form
    260.46/403.80 = 403.80/x
  3. Step 3: Cross multiply
    260.46x = 403.80 × 403.80
  4. Step 4: Simplify right side
    260.46x = 163,058.23
  5. Step 5: Solve for x
    x = 163,058.23/260.46
  6. Step 6: Final answer
    x = 626.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.