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Finding the Third Proportional to 221,709 and 484,825

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Solution

The third proportional to 221,709 and 484,825 is: 1,060,197.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,709 : 484,825 = 484,825 : x
  2. Step 2: Convert to fraction form
    221,709/484,825 = 484,825/x
  3. Step 3: Cross multiply
    221,709x = 484,825 × 484,825
  4. Step 4: Simplify right side
    221,709x = 235,055,280,625
  5. Step 5: Solve for x
    x = 235,055,280,625/221,709
  6. Step 6: Final answer
    x = 1,060,197.29

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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.