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Finding the Third Proportional to 101,799 and 221,670

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Solution

The third proportional to 101,799 and 221,670 is: 482,692.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,799 : 221,670 = 221,670 : x
  2. Step 2: Convert to fraction form
    101,799/221,670 = 221,670/x
  3. Step 3: Cross multiply
    101,799x = 221,670 × 221,670
  4. Step 4: Simplify right side
    101,799x = 49,137,588,900
  5. Step 5: Solve for x
    x = 49,137,588,900/101,799
  6. Step 6: Final answer
    x = 482,692.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.