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Finding the Third Proportional to 490,766 and 695,949

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Solution

The third proportional to 490,766 and 695,949 is: 986,916.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,766 : 695,949 = 695,949 : x
  2. Step 2: Convert to fraction form
    490,766/695,949 = 695,949/x
  3. Step 3: Cross multiply
    490,766x = 695,949 × 695,949
  4. Step 4: Simplify right side
    490,766x = 484,345,010,601
  5. Step 5: Solve for x
    x = 484,345,010,601/490,766
  6. Step 6: Final answer
    x = 986,916.39

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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.