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Finding the Third Proportional to 405,350.25 and 938,287.13

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Solution

The third proportional to 405,350.25 and 938,287.13 is: 2,171,906.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,350.25 : 938,287.13 = 938,287.13 : x
  2. Step 2: Convert to fraction form
    405,350.25/938,287.13 = 938,287.13/x
  3. Step 3: Cross multiply
    405,350.25x = 938,287.13 × 938,287.13
  4. Step 4: Simplify right side
    405,350.25x = 880,382,728,940.77
  5. Step 5: Solve for x
    x = 880,382,728,940.77/405,350.25
  6. Step 6: Final answer
    x = 2,171,906.22

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.