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Finding the Third Proportional to 260,903 and 403,680

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Solution

The third proportional to 260,903 and 403,680 is: 624,590.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,903 : 403,680 = 403,680 : x
  2. Step 2: Convert to fraction form
    260,903/403,680 = 403,680/x
  3. Step 3: Cross multiply
    260,903x = 403,680 × 403,680
  4. Step 4: Simplify right side
    260,903x = 162,957,542,400
  5. Step 5: Solve for x
    x = 162,957,542,400/260,903
  6. Step 6: Final answer
    x = 624,590.53

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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.