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Finding the Third Proportional to 189,508 and 401,480

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Solution

The third proportional to 189,508 and 401,480 is: 850,550.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,508 : 401,480 = 401,480 : x
  2. Step 2: Convert to fraction form
    189,508/401,480 = 401,480/x
  3. Step 3: Cross multiply
    189,508x = 401,480 × 401,480
  4. Step 4: Simplify right side
    189,508x = 161,186,190,400
  5. Step 5: Solve for x
    x = 161,186,190,400/189,508
  6. Step 6: Final answer
    x = 850,550.85

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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.