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Finding the Third Proportional to 30,863.85 and 66,332.36

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Solution

The third proportional to 30,863.85 and 66,332.36 is: 142,561.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,863.85 : 66,332.36 = 66,332.36 : x
  2. Step 2: Convert to fraction form
    30,863.85/66,332.36 = 66,332.36/x
  3. Step 3: Cross multiply
    30,863.85x = 66,332.36 × 66,332.36
  4. Step 4: Simplify right side
    30,863.85x = 4,399,981,382.03
  5. Step 5: Solve for x
    x = 4,399,981,382.03/30,863.85
  6. Step 6: Final answer
    x = 142,561.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.