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Finding the Third Proportional to 109,765,015.50 and 216,753,998.25

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Solution

The third proportional to 109,765,015.50 and 216,753,998.25 is: 428,026,138.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,765,015.50 : 216,753,998.25 = 216,753,998.25 : x
  2. Step 2: Convert to fraction form
    109,765,015.50/216,753,998.25 = 216,753,998.25/x
  3. Step 3: Cross multiply
    109,765,015.50x = 216,753,998.25 × 216,753,998.25
  4. Step 4: Simplify right side
    109,765,015.50x = 46,982,295,757,361,000
  5. Step 5: Solve for x
    x = 46,982,295,757,361,000/109,765,015.50
  6. Step 6: Final answer
    x = 428,026,138.78

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.