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Finding the Third Proportional to 379,831.78 and 810,511.31

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Solution

The third proportional to 379,831.78 and 810,511.31 is: 1,729,525.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,831.78 : 810,511.31 = 810,511.31 : x
  2. Step 2: Convert to fraction form
    379,831.78/810,511.31 = 810,511.31/x
  3. Step 3: Cross multiply
    379,831.78x = 810,511.31 × 810,511.31
  4. Step 4: Simplify right side
    379,831.78x = 656,928,587,690.47
  5. Step 5: Solve for x
    x = 656,928,587,690.47/379,831.78
  6. Step 6: Final answer
    x = 1,729,525.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.