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Finding the Third Proportional to 394,149 and 609,600

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Solution

The third proportional to 394,149 and 609,600 is: 942,821.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,149 : 609,600 = 609,600 : x
  2. Step 2: Convert to fraction form
    394,149/609,600 = 609,600/x
  3. Step 3: Cross multiply
    394,149x = 609,600 × 609,600
  4. Step 4: Simplify right side
    394,149x = 371,612,160,000
  5. Step 5: Solve for x
    x = 371,612,160,000/394,149
  6. Step 6: Final answer
    x = 942,821.52

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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.