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Finding the Third Proportional to 89,120.25 and 122,563.13

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Solution

The third proportional to 89,120.25 and 122,563.13 is: 168,555.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,120.25 : 122,563.13 = 122,563.13 : x
  2. Step 2: Convert to fraction form
    89,120.25/122,563.13 = 122,563.13/x
  3. Step 3: Cross multiply
    89,120.25x = 122,563.13 × 122,563.13
  4. Step 4: Simplify right side
    89,120.25x = 15,021,719,609.77
  5. Step 5: Solve for x
    x = 15,021,719,609.77/89,120.25
  6. Step 6: Final answer
    x = 168,555.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.