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Finding the Third Proportional to 89,979.38 and 196,907.81

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Solution

The third proportional to 89,979.38 and 196,907.81 is: 430,906.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,979.38 : 196,907.81 = 196,907.81 : x
  2. Step 2: Convert to fraction form
    89,979.38/196,907.81 = 196,907.81/x
  3. Step 3: Cross multiply
    89,979.38x = 196,907.81 × 196,907.81
  4. Step 4: Simplify right side
    89,979.38x = 38,772,686,623.54
  5. Step 5: Solve for x
    x = 38,772,686,623.54/89,979.38
  6. Step 6: Final answer
    x = 430,906.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.