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Finding the Third Proportional to 395,302 and 869,324

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Solution

The third proportional to 395,302 and 869,324 is: 1,911,764.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,302 : 869,324 = 869,324 : x
  2. Step 2: Convert to fraction form
    395,302/869,324 = 869,324/x
  3. Step 3: Cross multiply
    395,302x = 869,324 × 869,324
  4. Step 4: Simplify right side
    395,302x = 755,724,216,976
  5. Step 5: Solve for x
    x = 755,724,216,976/395,302
  6. Step 6: Final answer
    x = 1,911,764.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.