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Finding the Third Proportional to 198,547 and 428,198

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Solution

The third proportional to 198,547 and 428,198 is: 923,476.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,547 : 428,198 = 428,198 : x
  2. Step 2: Convert to fraction form
    198,547/428,198 = 428,198/x
  3. Step 3: Cross multiply
    198,547x = 428,198 × 428,198
  4. Step 4: Simplify right side
    198,547x = 183,353,527,204
  5. Step 5: Solve for x
    x = 183,353,527,204/198,547
  6. Step 6: Final answer
    x = 923,476.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.