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Finding the Third Proportional to 398,997 and 853,289

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Solution

The third proportional to 398,997 and 853,289 is: 1,824,831.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,997 : 853,289 = 853,289 : x
  2. Step 2: Convert to fraction form
    398,997/853,289 = 853,289/x
  3. Step 3: Cross multiply
    398,997x = 853,289 × 853,289
  4. Step 4: Simplify right side
    398,997x = 728,102,117,521
  5. Step 5: Solve for x
    x = 728,102,117,521/398,997
  6. Step 6: Final answer
    x = 1,824,831.06

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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.