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Finding the Third Proportional to 395,488 and 869,600

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Solution

The third proportional to 395,488 and 869,600 is: 1,912,078.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,488 : 869,600 = 869,600 : x
  2. Step 2: Convert to fraction form
    395,488/869,600 = 869,600/x
  3. Step 3: Cross multiply
    395,488x = 869,600 × 869,600
  4. Step 4: Simplify right side
    395,488x = 756,204,160,000
  5. Step 5: Solve for x
    x = 756,204,160,000/395,488
  6. Step 6: Final answer
    x = 1,912,078.65

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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.