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Finding the Third Proportional to 89,139.25 and 197,961.25

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Solution

The third proportional to 89,139.25 and 197,961.25 is: 439,634.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,139.25 : 197,961.25 = 197,961.25 : x
  2. Step 2: Convert to fraction form
    89,139.25/197,961.25 = 197,961.25/x
  3. Step 3: Cross multiply
    89,139.25x = 197,961.25 × 197,961.25
  4. Step 4: Simplify right side
    89,139.25x = 39,188,656,501.56
  5. Step 5: Solve for x
    x = 39,188,656,501.56/89,139.25
  6. Step 6: Final answer
    x = 439,634.13

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.