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Finding the Third Proportional to 378,382 and 814,166

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Solution

The third proportional to 378,382 and 814,166 is: 1,751,844.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,382 : 814,166 = 814,166 : x
  2. Step 2: Convert to fraction form
    378,382/814,166 = 814,166/x
  3. Step 3: Cross multiply
    378,382x = 814,166 × 814,166
  4. Step 4: Simplify right side
    378,382x = 662,866,275,556
  5. Step 5: Solve for x
    x = 662,866,275,556/378,382
  6. Step 6: Final answer
    x = 1,751,844.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.