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Finding the Third Proportional to 408,952 and 899,119

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Solution

The third proportional to 408,952 and 899,119 is: 1,976,796.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,952 : 899,119 = 899,119 : x
  2. Step 2: Convert to fraction form
    408,952/899,119 = 899,119/x
  3. Step 3: Cross multiply
    408,952x = 899,119 × 899,119
  4. Step 4: Simplify right side
    408,952x = 808,414,976,161
  5. Step 5: Solve for x
    x = 808,414,976,161/408,952
  6. Step 6: Final answer
    x = 1,976,796.73

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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.