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Finding the Third Proportional to 398,995 and 853,285

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Solution

The third proportional to 398,995 and 853,285 is: 1,824,823.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,995 : 853,285 = 853,285 : x
  2. Step 2: Convert to fraction form
    398,995/853,285 = 853,285/x
  3. Step 3: Cross multiply
    398,995x = 853,285 × 853,285
  4. Step 4: Simplify right side
    398,995x = 728,095,291,225
  5. Step 5: Solve for x
    x = 728,095,291,225/398,995
  6. Step 6: Final answer
    x = 1,824,823.10

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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.