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Finding the Third Proportional to 69,319.97 and 141,923.81

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Solution

The third proportional to 69,319.97 and 141,923.81 is: 290,570.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,319.97 : 141,923.81 = 141,923.81 : x
  2. Step 2: Convert to fraction form
    69,319.97/141,923.81 = 141,923.81/x
  3. Step 3: Cross multiply
    69,319.97x = 141,923.81 × 141,923.81
  4. Step 4: Simplify right side
    69,319.97x = 20,142,368,554.54
  5. Step 5: Solve for x
    x = 20,142,368,554.54/69,319.97
  6. Step 6: Final answer
    x = 290,570.94

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.