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Finding the Third Proportional to 283,774 and 423,198

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Solution

The third proportional to 283,774 and 423,198 is: 631,123.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,774 : 423,198 = 423,198 : x
  2. Step 2: Convert to fraction form
    283,774/423,198 = 423,198/x
  3. Step 3: Cross multiply
    283,774x = 423,198 × 423,198
  4. Step 4: Simplify right side
    283,774x = 179,096,547,204
  5. Step 5: Solve for x
    x = 179,096,547,204/283,774
  6. Step 6: Final answer
    x = 631,123.88

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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.