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Finding the Third Proportional to 206,415.21 and 454,730.84

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Solution

The third proportional to 206,415.21 and 454,730.84 is: 1,001,767.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,415.21 : 454,730.84 = 454,730.84 : x
  2. Step 2: Convert to fraction form
    206,415.21/454,730.84 = 454,730.84/x
  3. Step 3: Cross multiply
    206,415.21x = 454,730.84 × 454,730.84
  4. Step 4: Simplify right side
    206,415.21x = 206,780,133,152.42
  5. Step 5: Solve for x
    x = 206,780,133,152.42/206,415.21
  6. Step 6: Final answer
    x = 1,001,767.90

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.