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Finding the Third Proportional to 260,400 and 398,280

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Solution

The third proportional to 260,400 and 398,280 is: 609,166.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,400 : 398,280 = 398,280 : x
  2. Step 2: Convert to fraction form
    260,400/398,280 = 398,280/x
  3. Step 3: Cross multiply
    260,400x = 398,280 × 398,280
  4. Step 4: Simplify right side
    260,400x = 158,626,958,400
  5. Step 5: Solve for x
    x = 158,626,958,400/260,400
  6. Step 6: Final answer
    x = 609,166.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.