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Finding the Third Proportional to 109,980 and 221,665.50

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Solution

The third proportional to 109,980 and 221,665.50 is: 446,768.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,980 : 221,665.50 = 221,665.50 : x
  2. Step 2: Convert to fraction form
    109,980/221,665.50 = 221,665.50/x
  3. Step 3: Cross multiply
    109,980x = 221,665.50 × 221,665.50
  4. Step 4: Simplify right side
    109,980x = 49,135,593,890.25
  5. Step 5: Solve for x
    x = 49,135,593,890.25/109,980
  6. Step 6: Final answer
    x = 446,768.45

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.