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Finding the Third Proportional to 399,740 and 851,268

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Solution

The third proportional to 399,740 and 851,268 is: 1,812,821.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,740 : 851,268 = 851,268 : x
  2. Step 2: Convert to fraction form
    399,740/851,268 = 851,268/x
  3. Step 3: Cross multiply
    399,740x = 851,268 × 851,268
  4. Step 4: Simplify right side
    399,740x = 724,657,207,824
  5. Step 5: Solve for x
    x = 724,657,207,824/399,740
  6. Step 6: Final answer
    x = 1,812,821.35

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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.