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Finding the Third Proportional to 621,039 and 878,949

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Solution

The third proportional to 621,039 and 878,949 is: 1,243,965.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,039 : 878,949 = 878,949 : x
  2. Step 2: Convert to fraction form
    621,039/878,949 = 878,949/x
  3. Step 3: Cross multiply
    621,039x = 878,949 × 878,949
  4. Step 4: Simplify right side
    621,039x = 772,551,344,601
  5. Step 5: Solve for x
    x = 772,551,344,601/621,039
  6. Step 6: Final answer
    x = 1,243,965.91

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.