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Finding the Third Proportional to 398,998 and 853,292

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Solution

The third proportional to 398,998 and 853,292 is: 1,824,839.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,998 : 853,292 = 853,292 : x
  2. Step 2: Convert to fraction form
    398,998/853,292 = 853,292/x
  3. Step 3: Cross multiply
    398,998x = 853,292 × 853,292
  4. Step 4: Simplify right side
    398,998x = 728,107,237,264
  5. Step 5: Solve for x
    x = 728,107,237,264/398,998
  6. Step 6: Final answer
    x = 1,824,839.32

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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.