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Finding the Third Proportional to 395,478 and 853,164

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Solution

The third proportional to 395,478 and 853,164 is: 1,840,529.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,478 : 853,164 = 853,164 : x
  2. Step 2: Convert to fraction form
    395,478/853,164 = 853,164/x
  3. Step 3: Cross multiply
    395,478x = 853,164 × 853,164
  4. Step 4: Simplify right side
    395,478x = 727,888,810,896
  5. Step 5: Solve for x
    x = 727,888,810,896/395,478
  6. Step 6: Final answer
    x = 1,840,529.21

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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.