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Finding the Third Proportional to 394,324 and 617,778

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Solution

The third proportional to 394,324 and 617,778 is: 967,858.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,324 : 617,778 = 617,778 : x
  2. Step 2: Convert to fraction form
    394,324/617,778 = 617,778/x
  3. Step 3: Cross multiply
    394,324x = 617,778 × 617,778
  4. Step 4: Simplify right side
    394,324x = 381,649,657,284
  5. Step 5: Solve for x
    x = 381,649,657,284/394,324
  6. Step 6: Final answer
    x = 967,858.05

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.