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Finding the Third Proportional to 288,420 and 395,688

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Solution

The third proportional to 288,420 and 395,688 is: 542,850.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,420 : 395,688 = 395,688 : x
  2. Step 2: Convert to fraction form
    288,420/395,688 = 395,688/x
  3. Step 3: Cross multiply
    288,420x = 395,688 × 395,688
  4. Step 4: Simplify right side
    288,420x = 156,568,993,344
  5. Step 5: Solve for x
    x = 156,568,993,344/288,420
  6. Step 6: Final answer
    x = 542,850.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.