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Finding the Third Proportional to 878,997 and 1,865,901

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Solution

The third proportional to 878,997 and 1,865,901 is: 3,960,862.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,997 : 1,865,901 = 1,865,901 : x
  2. Step 2: Convert to fraction form
    878,997/1,865,901 = 1,865,901/x
  3. Step 3: Cross multiply
    878,997x = 1,865,901 × 1,865,901
  4. Step 4: Simplify right side
    878,997x = 3,481,586,541,801
  5. Step 5: Solve for x
    x = 3,481,586,541,801/878,997
  6. Step 6: Final answer
    x = 3,960,862.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.