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Finding the Third Proportional to 400,098 and 619,099

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Solution

The third proportional to 400,098 and 619,099 is: 957,974.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,098 : 619,099 = 619,099 : x
  2. Step 2: Convert to fraction form
    400,098/619,099 = 619,099/x
  3. Step 3: Cross multiply
    400,098x = 619,099 × 619,099
  4. Step 4: Simplify right side
    400,098x = 383,283,571,801
  5. Step 5: Solve for x
    x = 383,283,571,801/400,098
  6. Step 6: Final answer
    x = 957,974.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.