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Finding the Third Proportional to 853,670 and 1,278,273

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Solution

The third proportional to 853,670 and 1,278,273 is: 1,914,067.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,670 : 1,278,273 = 1,278,273 : x
  2. Step 2: Convert to fraction form
    853,670/1,278,273 = 1,278,273/x
  3. Step 3: Cross multiply
    853,670x = 1,278,273 × 1,278,273
  4. Step 4: Simplify right side
    853,670x = 1,633,981,862,529
  5. Step 5: Solve for x
    x = 1,633,981,862,529/853,670
  6. Step 6: Final answer
    x = 1,914,067.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.