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Finding the Third Proportional to 400,025.25 and 866,450.25

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Solution

The third proportional to 400,025.25 and 866,450.25 is: 1,876,721.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,025.25 : 866,450.25 = 866,450.25 : x
  2. Step 2: Convert to fraction form
    400,025.25/866,450.25 = 866,450.25/x
  3. Step 3: Cross multiply
    400,025.25x = 866,450.25 × 866,450.25
  4. Step 4: Simplify right side
    400,025.25x = 750,736,035,725.06
  5. Step 5: Solve for x
    x = 750,736,035,725.06/400,025.25
  6. Step 6: Final answer
    x = 1,876,721.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.