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Finding the Third Proportional to 394,910 and 612,603

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Solution

The third proportional to 394,910 and 612,603 is: 950,298.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,910 : 612,603 = 612,603 : x
  2. Step 2: Convert to fraction form
    394,910/612,603 = 612,603/x
  3. Step 3: Cross multiply
    394,910x = 612,603 × 612,603
  4. Step 4: Simplify right side
    394,910x = 375,282,435,609
  5. Step 5: Solve for x
    x = 375,282,435,609/394,910
  6. Step 6: Final answer
    x = 950,298.64

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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.