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Finding the Third Proportional to 99,754 and 221,651

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Solution

The third proportional to 99,754 and 221,651 is: 492,503.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,754 : 221,651 = 221,651 : x
  2. Step 2: Convert to fraction form
    99,754/221,651 = 221,651/x
  3. Step 3: Cross multiply
    99,754x = 221,651 × 221,651
  4. Step 4: Simplify right side
    99,754x = 49,129,165,801
  5. Step 5: Solve for x
    x = 49,129,165,801/99,754
  6. Step 6: Final answer
    x = 492,503.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.