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Finding the Third Proportional to 371,511 and 814,218

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Solution

The third proportional to 371,511 and 814,218 is: 1,784,471.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,511 : 814,218 = 814,218 : x
  2. Step 2: Convert to fraction form
    371,511/814,218 = 814,218/x
  3. Step 3: Cross multiply
    371,511x = 814,218 × 814,218
  4. Step 4: Simplify right side
    371,511x = 662,950,951,524
  5. Step 5: Solve for x
    x = 662,950,951,524/371,511
  6. Step 6: Final answer
    x = 1,784,471.93

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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.