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Finding the Third Proportional to 282,820 and 395,608

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Solution

The third proportional to 282,820 and 395,608 is: 553,375.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,820 : 395,608 = 395,608 : x
  2. Step 2: Convert to fraction form
    282,820/395,608 = 395,608/x
  3. Step 3: Cross multiply
    282,820x = 395,608 × 395,608
  4. Step 4: Simplify right side
    282,820x = 156,505,689,664
  5. Step 5: Solve for x
    x = 156,505,689,664/282,820
  6. Step 6: Final answer
    x = 553,375.61

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.