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Finding the Third Proportional to 189,936 and 401,328

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Solution

The third proportional to 189,936 and 401,328 is: 847,991.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,936 : 401,328 = 401,328 : x
  2. Step 2: Convert to fraction form
    189,936/401,328 = 401,328/x
  3. Step 3: Cross multiply
    189,936x = 401,328 × 401,328
  4. Step 4: Simplify right side
    189,936x = 161,064,163,584
  5. Step 5: Solve for x
    x = 161,064,163,584/189,936
  6. Step 6: Final answer
    x = 847,991.76

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.