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Finding the Third Proportional to 281,826 and 617,949

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Solution

The third proportional to 281,826 and 617,949 is: 1,354,952.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,826 : 617,949 = 617,949 : x
  2. Step 2: Convert to fraction form
    281,826/617,949 = 617,949/x
  3. Step 3: Cross multiply
    281,826x = 617,949 × 617,949
  4. Step 4: Simplify right side
    281,826x = 381,860,966,601
  5. Step 5: Solve for x
    x = 381,860,966,601/281,826
  6. Step 6: Final answer
    x = 1,354,952.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.