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Finding the Third Proportional to 395,130 and 853,438

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Solution

The third proportional to 395,130 and 853,438 is: 1,843,333.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,130 : 853,438 = 853,438 : x
  2. Step 2: Convert to fraction form
    395,130/853,438 = 853,438/x
  3. Step 3: Cross multiply
    395,130x = 853,438 × 853,438
  4. Step 4: Simplify right side
    395,130x = 728,356,419,844
  5. Step 5: Solve for x
    x = 728,356,419,844/395,130
  6. Step 6: Final answer
    x = 1,843,333.64

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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.