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Finding the Third Proportional to 395,466 and 853,140

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Solution

The third proportional to 395,466 and 853,140 is: 1,840,481.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,466 : 853,140 = 853,140 : x
  2. Step 2: Convert to fraction form
    395,466/853,140 = 853,140/x
  3. Step 3: Cross multiply
    395,466x = 853,140 × 853,140
  4. Step 4: Simplify right side
    395,466x = 727,847,859,600
  5. Step 5: Solve for x
    x = 727,847,859,600/395,466
  6. Step 6: Final answer
    x = 1,840,481.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.