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Finding the Third Proportional to 403,340 and 885,414

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Solution

The third proportional to 403,340 and 885,414 is: 1,943,665.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,340 : 885,414 = 885,414 : x
  2. Step 2: Convert to fraction form
    403,340/885,414 = 885,414/x
  3. Step 3: Cross multiply
    403,340x = 885,414 × 885,414
  4. Step 4: Simplify right side
    403,340x = 783,957,951,396
  5. Step 5: Solve for x
    x = 783,957,951,396/403,340
  6. Step 6: Final answer
    x = 1,943,665.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.