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Finding the Third Proportional to 399,004 and 853,304

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Solution

The third proportional to 399,004 and 853,304 is: 1,824,863.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,004 : 853,304 = 853,304 : x
  2. Step 2: Convert to fraction form
    399,004/853,304 = 853,304/x
  3. Step 3: Cross multiply
    399,004x = 853,304 × 853,304
  4. Step 4: Simplify right side
    399,004x = 728,127,716,416
  5. Step 5: Solve for x
    x = 728,127,716,416/399,004
  6. Step 6: Final answer
    x = 1,824,863.20

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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.