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Finding the Third Proportional to 189,034 and 409,099

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Solution

The third proportional to 189,034 and 409,099 is: 885,353.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,034 : 409,099 = 409,099 : x
  2. Step 2: Convert to fraction form
    189,034/409,099 = 409,099/x
  3. Step 3: Cross multiply
    189,034x = 409,099 × 409,099
  4. Step 4: Simplify right side
    189,034x = 167,361,991,801
  5. Step 5: Solve for x
    x = 167,361,991,801/189,034
  6. Step 6: Final answer
    x = 885,353.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.