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Finding the Third Proportional to 221,600 and 484,672

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Solution

The third proportional to 221,600 and 484,672 is: 1,060,049.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,600 : 484,672 = 484,672 : x
  2. Step 2: Convert to fraction form
    221,600/484,672 = 484,672/x
  3. Step 3: Cross multiply
    221,600x = 484,672 × 484,672
  4. Step 4: Simplify right side
    221,600x = 234,906,947,584
  5. Step 5: Solve for x
    x = 234,906,947,584/221,600
  6. Step 6: Final answer
    x = 1,060,049.40

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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.