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Finding the Third Proportional to 397,600.31 and 869,418.56

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Solution

The third proportional to 397,600.31 and 869,418.56 is: 1,901,126.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,600.31 : 869,418.56 = 869,418.56 : x
  2. Step 2: Convert to fraction form
    397,600.31/869,418.56 = 869,418.56/x
  3. Step 3: Cross multiply
    397,600.31x = 869,418.56 × 869,418.56
  4. Step 4: Simplify right side
    397,600.31x = 755,888,636,819.57
  5. Step 5: Solve for x
    x = 755,888,636,819.57/397,600.31
  6. Step 6: Final answer
    x = 1,901,126.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.