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Finding the Third Proportional to 89,622 and 121,790.25

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Solution

The third proportional to 89,622 and 121,790.25 is: 165,504.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,622 : 121,790.25 = 121,790.25 : x
  2. Step 2: Convert to fraction form
    89,622/121,790.25 = 121,790.25/x
  3. Step 3: Cross multiply
    89,622x = 121,790.25 × 121,790.25
  4. Step 4: Simplify right side
    89,622x = 14,832,864,995.06
  5. Step 5: Solve for x
    x = 14,832,864,995.06/89,622
  6. Step 6: Final answer
    x = 165,504.73

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.