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Finding the Third Proportional to 454,742 and 757,857

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Solution

The third proportional to 454,742 and 757,857 is: 1,263,017.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,742 : 757,857 = 757,857 : x
  2. Step 2: Convert to fraction form
    454,742/757,857 = 757,857/x
  3. Step 3: Cross multiply
    454,742x = 757,857 × 757,857
  4. Step 4: Simplify right side
    454,742x = 574,347,232,449
  5. Step 5: Solve for x
    x = 574,347,232,449/454,742
  6. Step 6: Final answer
    x = 1,263,017.78

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.