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Finding the Third Proportional to 800,489 and 1,733,838

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Solution

The third proportional to 800,489 and 1,733,838 is: 3,755,447.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,489 : 1,733,838 = 1,733,838 : x
  2. Step 2: Convert to fraction form
    800,489/1,733,838 = 1,733,838/x
  3. Step 3: Cross multiply
    800,489x = 1,733,838 × 1,733,838
  4. Step 4: Simplify right side
    800,489x = 3,006,194,210,244
  5. Step 5: Solve for x
    x = 3,006,194,210,244/800,489
  6. Step 6: Final answer
    x = 3,755,447.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.