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Finding the Third Proportional to 399,714 and 851,214

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Solution

The third proportional to 399,714 and 851,214 is: 1,812,709.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,714 : 851,214 = 851,214 : x
  2. Step 2: Convert to fraction form
    399,714/851,214 = 851,214/x
  3. Step 3: Cross multiply
    399,714x = 851,214 × 851,214
  4. Step 4: Simplify right side
    399,714x = 724,565,273,796
  5. Step 5: Solve for x
    x = 724,565,273,796/399,714
  6. Step 6: Final answer
    x = 1,812,709.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.