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Finding the Third Proportional to 85,638 and 189,633

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Solution

The third proportional to 85,638 and 189,633 is: 419,914.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,638 : 189,633 = 189,633 : x
  2. Step 2: Convert to fraction form
    85,638/189,633 = 189,633/x
  3. Step 3: Cross multiply
    85,638x = 189,633 × 189,633
  4. Step 4: Simplify right side
    85,638x = 35,960,674,689
  5. Step 5: Solve for x
    x = 35,960,674,689/85,638
  6. Step 6: Final answer
    x = 419,914.93

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.