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Finding the Third Proportional to 203,051 and 315,651

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Solution

The third proportional to 203,051 and 315,651 is: 490,692.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,051 : 315,651 = 315,651 : x
  2. Step 2: Convert to fraction form
    203,051/315,651 = 315,651/x
  3. Step 3: Cross multiply
    203,051x = 315,651 × 315,651
  4. Step 4: Simplify right side
    203,051x = 99,635,553,801
  5. Step 5: Solve for x
    x = 99,635,553,801/203,051
  6. Step 6: Final answer
    x = 490,692.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.