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Finding the Third Proportional to 260.06 and 403.03

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Solution

The third proportional to 260.06 and 403.03 is: 624.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.06 : 403.03 = 403.03 : x
  2. Step 2: Convert to fraction form
    260.06/403.03 = 403.03/x
  3. Step 3: Cross multiply
    260.06x = 403.03 × 403.03
  4. Step 4: Simplify right side
    260.06x = 162,434.19
  5. Step 5: Solve for x
    x = 162,434.19/260.06
  6. Step 6: Final answer
    x = 624.60

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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.