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Finding the Third Proportional to 394,153 and 609,606

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Solution

The third proportional to 394,153 and 609,606 is: 942,830.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,153 : 609,606 = 609,606 : x
  2. Step 2: Convert to fraction form
    394,153/609,606 = 609,606/x
  3. Step 3: Cross multiply
    394,153x = 609,606 × 609,606
  4. Step 4: Simplify right side
    394,153x = 371,619,475,236
  5. Step 5: Solve for x
    x = 371,619,475,236/394,153
  6. Step 6: Final answer
    x = 942,830.51

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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.