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Finding the Third Proportional to 100,964 and 221,512

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Solution

The third proportional to 100,964 and 221,512 is: 485,990.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,964 : 221,512 = 221,512 : x
  2. Step 2: Convert to fraction form
    100,964/221,512 = 221,512/x
  3. Step 3: Cross multiply
    100,964x = 221,512 × 221,512
  4. Step 4: Simplify right side
    100,964x = 49,067,566,144
  5. Step 5: Solve for x
    x = 49,067,566,144/100,964
  6. Step 6: Final answer
    x = 485,990.71

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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.