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Finding the Third Proportional to 395,066 and 868,900

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Solution

The third proportional to 395,066 and 868,900 is: 1,911,040.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,066 : 868,900 = 868,900 : x
  2. Step 2: Convert to fraction form
    395,066/868,900 = 868,900/x
  3. Step 3: Cross multiply
    395,066x = 868,900 × 868,900
  4. Step 4: Simplify right side
    395,066x = 754,987,210,000
  5. Step 5: Solve for x
    x = 754,987,210,000/395,066
  6. Step 6: Final answer
    x = 1,911,040.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.