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Finding the Third Proportional to 394,348.50 and 643,876.50

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Solution

The third proportional to 394,348.50 and 643,876.50 is: 1,051,295.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,348.50 : 643,876.50 = 643,876.50 : x
  2. Step 2: Convert to fraction form
    394,348.50/643,876.50 = 643,876.50/x
  3. Step 3: Cross multiply
    394,348.50x = 643,876.50 × 643,876.50
  4. Step 4: Simplify right side
    394,348.50x = 414,576,947,252.25
  5. Step 5: Solve for x
    x = 414,576,947,252.25/394,348.50
  6. Step 6: Final answer
    x = 1,051,295.86

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.