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Finding the Third Proportional to 221,536.27 and 483,168.96

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Solution

The third proportional to 221,536.27 and 483,168.96 is: 1,053,787.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,536.27 : 483,168.96 = 483,168.96 : x
  2. Step 2: Convert to fraction form
    221,536.27/483,168.96 = 483,168.96/x
  3. Step 3: Cross multiply
    221,536.27x = 483,168.96 × 483,168.96
  4. Step 4: Simplify right side
    221,536.27x = 233,452,239,151.28
  5. Step 5: Solve for x
    x = 233,452,239,151.28/221,536.27
  6. Step 6: Final answer
    x = 1,053,787.91

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