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Finding the Third Proportional to 419,340 and 905,424

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Solution

The third proportional to 419,340 and 905,424 is: 1,954,959.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,340 : 905,424 = 905,424 : x
  2. Step 2: Convert to fraction form
    419,340/905,424 = 905,424/x
  3. Step 3: Cross multiply
    419,340x = 905,424 × 905,424
  4. Step 4: Simplify right side
    419,340x = 819,792,619,776
  5. Step 5: Solve for x
    x = 819,792,619,776/419,340
  6. Step 6: Final answer
    x = 1,954,959.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.