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Finding the Third Proportional to 283,776 and 423,204

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Solution

The third proportional to 283,776 and 423,204 is: 631,137.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,776 : 423,204 = 423,204 : x
  2. Step 2: Convert to fraction form
    283,776/423,204 = 423,204/x
  3. Step 3: Cross multiply
    283,776x = 423,204 × 423,204
  4. Step 4: Simplify right side
    283,776x = 179,101,625,616
  5. Step 5: Solve for x
    x = 179,101,625,616/283,776
  6. Step 6: Final answer
    x = 631,137.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.