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Finding the Third Proportional to 90,720 and 189,702

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Solution

The third proportional to 90,720 and 189,702 is: 396,680.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,720 : 189,702 = 189,702 : x
  2. Step 2: Convert to fraction form
    90,720/189,702 = 189,702/x
  3. Step 3: Cross multiply
    90,720x = 189,702 × 189,702
  4. Step 4: Simplify right side
    90,720x = 35,986,848,804
  5. Step 5: Solve for x
    x = 35,986,848,804/90,720
  6. Step 6: Final answer
    x = 396,680.43

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.