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Finding the Third Proportional to 189,045 and 409,122

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Solution

The third proportional to 189,045 and 409,122 is: 885,401.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,045 : 409,122 = 409,122 : x
  2. Step 2: Convert to fraction form
    189,045/409,122 = 409,122/x
  3. Step 3: Cross multiply
    189,045x = 409,122 × 409,122
  4. Step 4: Simplify right side
    189,045x = 167,380,810,884
  5. Step 5: Solve for x
    x = 167,380,810,884/189,045
  6. Step 6: Final answer
    x = 885,401.95

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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.