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Finding the Third Proportional to 221,002 and 483,798

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Solution

The third proportional to 221,002 and 483,798 is: 1,059,087.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,002 : 483,798 = 483,798 : x
  2. Step 2: Convert to fraction form
    221,002/483,798 = 483,798/x
  3. Step 3: Cross multiply
    221,002x = 483,798 × 483,798
  4. Step 4: Simplify right side
    221,002x = 234,060,504,804
  5. Step 5: Solve for x
    x = 234,060,504,804/221,002
  6. Step 6: Final answer
    x = 1,059,087.72

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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.