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Finding the Third Proportional to 399,300 and 864,994

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Solution

The third proportional to 399,300 and 864,994 is: 1,873,815.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,300 : 864,994 = 864,994 : x
  2. Step 2: Convert to fraction form
    399,300/864,994 = 864,994/x
  3. Step 3: Cross multiply
    399,300x = 864,994 × 864,994
  4. Step 4: Simplify right side
    399,300x = 748,214,620,036
  5. Step 5: Solve for x
    x = 748,214,620,036/399,300
  6. Step 6: Final answer
    x = 1,873,815.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.