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Finding the Third Proportional to 395,127 and 853,437

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Solution

The third proportional to 395,127 and 853,437 is: 1,843,343.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,127 : 853,437 = 853,437 : x
  2. Step 2: Convert to fraction form
    395,127/853,437 = 853,437/x
  3. Step 3: Cross multiply
    395,127x = 853,437 × 853,437
  4. Step 4: Simplify right side
    395,127x = 728,354,712,969
  5. Step 5: Solve for x
    x = 728,354,712,969/395,127
  6. Step 6: Final answer
    x = 1,843,343.31

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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.