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Finding the Third Proportional to 313,158 and 419,481

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Solution

The third proportional to 313,158 and 419,481 is: 561,902.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,158 : 419,481 = 419,481 : x
  2. Step 2: Convert to fraction form
    313,158/419,481 = 419,481/x
  3. Step 3: Cross multiply
    313,158x = 419,481 × 419,481
  4. Step 4: Simplify right side
    313,158x = 175,964,309,361
  5. Step 5: Solve for x
    x = 175,964,309,361/313,158
  6. Step 6: Final answer
    x = 561,902.65

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.