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Finding the Third Proportional to 408,503.25 and 873,291.38

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Solution

The third proportional to 408,503.25 and 873,291.38 is: 1,866,907.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,503.25 : 873,291.38 = 873,291.38 : x
  2. Step 2: Convert to fraction form
    408,503.25/873,291.38 = 873,291.38/x
  3. Step 3: Cross multiply
    408,503.25x = 873,291.38 × 873,291.38
  4. Step 4: Simplify right side
    408,503.25x = 762,637,825,649.39
  5. Step 5: Solve for x
    x = 762,637,825,649.39/408,503.25
  6. Step 6: Final answer
    x = 1,866,907.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.