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Finding the Third Proportional to 198,536 and 428,174

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Solution

The third proportional to 198,536 and 428,174 is: 923,424.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,536 : 428,174 = 428,174 : x
  2. Step 2: Convert to fraction form
    198,536/428,174 = 428,174/x
  3. Step 3: Cross multiply
    198,536x = 428,174 × 428,174
  4. Step 4: Simplify right side
    198,536x = 183,332,974,276
  5. Step 5: Solve for x
    x = 183,332,974,276/198,536
  6. Step 6: Final answer
    x = 923,424.34

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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.