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Finding the Third Proportional to 221,916 and 485,349

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Solution

The third proportional to 221,916 and 485,349 is: 1,061,499.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,916 : 485,349 = 485,349 : x
  2. Step 2: Convert to fraction form
    221,916/485,349 = 485,349/x
  3. Step 3: Cross multiply
    221,916x = 485,349 × 485,349
  4. Step 4: Simplify right side
    221,916x = 235,563,651,801
  5. Step 5: Solve for x
    x = 235,563,651,801/221,916
  6. Step 6: Final answer
    x = 1,061,499.18

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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.