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Finding the Third Proportional to 66,561.75 and 143,785.13

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Solution

The third proportional to 66,561.75 and 143,785.13 is: 310,601.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,561.75 : 143,785.13 = 143,785.13 : x
  2. Step 2: Convert to fraction form
    66,561.75/143,785.13 = 143,785.13/x
  3. Step 3: Cross multiply
    66,561.75x = 143,785.13 × 143,785.13
  4. Step 4: Simplify right side
    66,561.75x = 20,674,162,171.27
  5. Step 5: Solve for x
    x = 20,674,162,171.27/66,561.75
  6. Step 6: Final answer
    x = 310,601.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.