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Finding the Third Proportional to 197,658 and 423,198

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Solution

The third proportional to 197,658 and 423,198 is: 906,093.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,658 : 423,198 = 423,198 : x
  2. Step 2: Convert to fraction form
    197,658/423,198 = 423,198/x
  3. Step 3: Cross multiply
    197,658x = 423,198 × 423,198
  4. Step 4: Simplify right side
    197,658x = 179,096,547,204
  5. Step 5: Solve for x
    x = 179,096,547,204/197,658
  6. Step 6: Final answer
    x = 906,093.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.