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Finding the Third Proportional to 395,618 and 869,860

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Solution

The third proportional to 395,618 and 869,860 is: 1,912,593.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,618 : 869,860 = 869,860 : x
  2. Step 2: Convert to fraction form
    395,618/869,860 = 869,860/x
  3. Step 3: Cross multiply
    395,618x = 869,860 × 869,860
  4. Step 4: Simplify right side
    395,618x = 756,656,419,600
  5. Step 5: Solve for x
    x = 756,656,419,600/395,618
  6. Step 6: Final answer
    x = 1,912,593.51

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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.