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Finding the Third Proportional to 399,654 and 855,990

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Solution

The third proportional to 399,654 and 855,990 is: 1,833,383.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,654 : 855,990 = 855,990 : x
  2. Step 2: Convert to fraction form
    399,654/855,990 = 855,990/x
  3. Step 3: Cross multiply
    399,654x = 855,990 × 855,990
  4. Step 4: Simplify right side
    399,654x = 732,718,880,100
  5. Step 5: Solve for x
    x = 732,718,880,100/399,654
  6. Step 6: Final answer
    x = 1,833,383.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.