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Finding the Third Proportional to 283,815 and 426,919

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Solution

The third proportional to 283,815 and 426,919 is: 642,178.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,815 : 426,919 = 426,919 : x
  2. Step 2: Convert to fraction form
    283,815/426,919 = 426,919/x
  3. Step 3: Cross multiply
    283,815x = 426,919 × 426,919
  4. Step 4: Simplify right side
    283,815x = 182,259,832,561
  5. Step 5: Solve for x
    x = 182,259,832,561/283,815
  6. Step 6: Final answer
    x = 642,178.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.