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Finding the Third Proportional to 215,770 and 440,108

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Solution

The third proportional to 215,770 and 440,108 is: 897,692.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,770 : 440,108 = 440,108 : x
  2. Step 2: Convert to fraction form
    215,770/440,108 = 440,108/x
  3. Step 3: Cross multiply
    215,770x = 440,108 × 440,108
  4. Step 4: Simplify right side
    215,770x = 193,695,051,664
  5. Step 5: Solve for x
    x = 193,695,051,664/215,770
  6. Step 6: Final answer
    x = 897,692.23

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.