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Finding the Third Proportional to 399,303 and 864,999

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Solution

The third proportional to 399,303 and 864,999 is: 1,873,823.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,303 : 864,999 = 864,999 : x
  2. Step 2: Convert to fraction form
    399,303/864,999 = 864,999/x
  3. Step 3: Cross multiply
    399,303x = 864,999 × 864,999
  4. Step 4: Simplify right side
    399,303x = 748,223,270,001
  5. Step 5: Solve for x
    x = 748,223,270,001/399,303
  6. Step 6: Final answer
    x = 1,873,823.31

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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.