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Finding the Third Proportional to 215,990 and 445,781

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Solution

The third proportional to 215,990 and 445,781 is: 920,045.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,990 : 445,781 = 445,781 : x
  2. Step 2: Convert to fraction form
    215,990/445,781 = 445,781/x
  3. Step 3: Cross multiply
    215,990x = 445,781 × 445,781
  4. Step 4: Simplify right side
    215,990x = 198,720,699,961
  5. Step 5: Solve for x
    x = 198,720,699,961/215,990
  6. Step 6: Final answer
    x = 920,045.84

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.