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Finding the Third Proportional to 87,720 and 189,450

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Solution

The third proportional to 87,720 and 189,450 is: 409,157.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,720 : 189,450 = 189,450 : x
  2. Step 2: Convert to fraction form
    87,720/189,450 = 189,450/x
  3. Step 3: Cross multiply
    87,720x = 189,450 × 189,450
  4. Step 4: Simplify right side
    87,720x = 35,891,302,500
  5. Step 5: Solve for x
    x = 35,891,302,500/87,720
  6. Step 6: Final answer
    x = 409,157.58

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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.