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Finding the Third Proportional to 419,420 and 912,568

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Solution

The third proportional to 419,420 and 912,568 is: 1,985,552.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,420 : 912,568 = 912,568 : x
  2. Step 2: Convert to fraction form
    419,420/912,568 = 912,568/x
  3. Step 3: Cross multiply
    419,420x = 912,568 × 912,568
  4. Step 4: Simplify right side
    419,420x = 832,780,354,624
  5. Step 5: Solve for x
    x = 832,780,354,624/419,420
  6. Step 6: Final answer
    x = 1,985,552.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.