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Finding the Third Proportional to 198,553 and 428,208

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Solution

The third proportional to 198,553 and 428,208 is: 923,491.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,553 : 428,208 = 428,208 : x
  2. Step 2: Convert to fraction form
    198,553/428,208 = 428,208/x
  3. Step 3: Cross multiply
    198,553x = 428,208 × 428,208
  4. Step 4: Simplify right side
    198,553x = 183,362,091,264
  5. Step 5: Solve for x
    x = 183,362,091,264/198,553
  6. Step 6: Final answer
    x = 923,491.92

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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.