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Finding the Third Proportional to 269,820 and 395,982

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Solution

The third proportional to 269,820 and 395,982 is: 581,134.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,820 : 395,982 = 395,982 : x
  2. Step 2: Convert to fraction form
    269,820/395,982 = 395,982/x
  3. Step 3: Cross multiply
    269,820x = 395,982 × 395,982
  4. Step 4: Simplify right side
    269,820x = 156,801,744,324
  5. Step 5: Solve for x
    x = 156,801,744,324/269,820
  6. Step 6: Final answer
    x = 581,134.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.