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Finding the Third Proportional to 221,543 and 485,977

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Solution

The third proportional to 221,543 and 485,977 is: 1,066,039.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,543 : 485,977 = 485,977 : x
  2. Step 2: Convert to fraction form
    221,543/485,977 = 485,977/x
  3. Step 3: Cross multiply
    221,543x = 485,977 × 485,977
  4. Step 4: Simplify right side
    221,543x = 236,173,644,529
  5. Step 5: Solve for x
    x = 236,173,644,529/221,543
  6. Step 6: Final answer
    x = 1,066,039.75

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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.