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Finding the Third Proportional to 395,686 and 876,764

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Solution

The third proportional to 395,686 and 876,764 is: 1,942,740.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,686 : 876,764 = 876,764 : x
  2. Step 2: Convert to fraction form
    395,686/876,764 = 876,764/x
  3. Step 3: Cross multiply
    395,686x = 876,764 × 876,764
  4. Step 4: Simplify right side
    395,686x = 768,715,111,696
  5. Step 5: Solve for x
    x = 768,715,111,696/395,686
  6. Step 6: Final answer
    x = 1,942,740.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.