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Finding the Third Proportional to 283,742 and 617,884

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Solution

The third proportional to 283,742 and 617,884 is: 1,345,520.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,742 : 617,884 = 617,884 : x
  2. Step 2: Convert to fraction form
    283,742/617,884 = 617,884/x
  3. Step 3: Cross multiply
    283,742x = 617,884 × 617,884
  4. Step 4: Simplify right side
    283,742x = 381,780,637,456
  5. Step 5: Solve for x
    x = 381,780,637,456/283,742
  6. Step 6: Final answer
    x = 1,345,520.36

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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.