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Finding the Third Proportional to 417,219 and 856,555

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Solution

The third proportional to 417,219 and 856,555 is: 1,758,516.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,219 : 856,555 = 856,555 : x
  2. Step 2: Convert to fraction form
    417,219/856,555 = 856,555/x
  3. Step 3: Cross multiply
    417,219x = 856,555 × 856,555
  4. Step 4: Simplify right side
    417,219x = 733,686,468,025
  5. Step 5: Solve for x
    x = 733,686,468,025/417,219
  6. Step 6: Final answer
    x = 1,758,516.43

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.