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Finding the Third Proportional to 104,820 and 221,472

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Solution

The third proportional to 104,820 and 221,472 is: 467,943.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,820 : 221,472 = 221,472 : x
  2. Step 2: Convert to fraction form
    104,820/221,472 = 221,472/x
  3. Step 3: Cross multiply
    104,820x = 221,472 × 221,472
  4. Step 4: Simplify right side
    104,820x = 49,049,846,784
  5. Step 5: Solve for x
    x = 49,049,846,784/104,820
  6. Step 6: Final answer
    x = 467,943.59

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.