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Finding the Third Proportional to 398,983 and 853,262

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Solution

The third proportional to 398,983 and 853,262 is: 1,824,779.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,983 : 853,262 = 853,262 : x
  2. Step 2: Convert to fraction form
    398,983/853,262 = 853,262/x
  3. Step 3: Cross multiply
    398,983x = 853,262 × 853,262
  4. Step 4: Simplify right side
    398,983x = 728,056,040,644
  5. Step 5: Solve for x
    x = 728,056,040,644/398,983
  6. Step 6: Final answer
    x = 1,824,779.60

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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.