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Finding the Third Proportional to 109,764,943.50 and 216,753,853.88

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Solution

The third proportional to 109,764,943.50 and 216,753,853.88 is: 428,025,849.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,764,943.50 : 216,753,853.88 = 216,753,853.88 : x
  2. Step 2: Convert to fraction form
    109,764,943.50/216,753,853.88 = 216,753,853.88/x
  3. Step 3: Cross multiply
    109,764,943.50x = 216,753,853.88 × 216,753,853.88
  4. Step 4: Simplify right side
    109,764,943.50x = 46,982,233,169,664,856
  5. Step 5: Solve for x
    x = 46,982,233,169,664,856/109,764,943.50
  6. Step 6: Final answer
    x = 428,025,849.34

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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.