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Finding the Third Proportional to 330,826 and 717,663

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Solution

The third proportional to 330,826 and 717,663 is: 1,556,831.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,826 : 717,663 = 717,663 : x
  2. Step 2: Convert to fraction form
    330,826/717,663 = 717,663/x
  3. Step 3: Cross multiply
    330,826x = 717,663 × 717,663
  4. Step 4: Simplify right side
    330,826x = 515,040,181,569
  5. Step 5: Solve for x
    x = 515,040,181,569/330,826
  6. Step 6: Final answer
    x = 1,556,831.03

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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.