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Finding the Third Proportional to 280,562 and 423,759

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Solution

The third proportional to 280,562 and 423,759 is: 640,042.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,562 : 423,759 = 423,759 : x
  2. Step 2: Convert to fraction form
    280,562/423,759 = 423,759/x
  3. Step 3: Cross multiply
    280,562x = 423,759 × 423,759
  4. Step 4: Simplify right side
    280,562x = 179,571,690,081
  5. Step 5: Solve for x
    x = 179,571,690,081/280,562
  6. Step 6: Final answer
    x = 640,042.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.