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Finding the Third Proportional to 283,808 and 426,908

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Solution

The third proportional to 283,808 and 426,908 is: 642,161.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,808 : 426,908 = 426,908 : x
  2. Step 2: Convert to fraction form
    283,808/426,908 = 426,908/x
  3. Step 3: Cross multiply
    283,808x = 426,908 × 426,908
  4. Step 4: Simplify right side
    283,808x = 182,250,440,464
  5. Step 5: Solve for x
    x = 182,250,440,464/283,808
  6. Step 6: Final answer
    x = 642,161.04

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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.