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Finding the Third Proportional to 31,887.19 and 69,515.44

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Solution

The third proportional to 31,887.19 and 69,515.44 is: 151,546.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,887.19 : 69,515.44 = 69,515.44 : x
  2. Step 2: Convert to fraction form
    31,887.19/69,515.44 = 69,515.44/x
  3. Step 3: Cross multiply
    31,887.19x = 69,515.44 × 69,515.44
  4. Step 4: Simplify right side
    31,887.19x = 4,832,396,050.82
  5. Step 5: Solve for x
    x = 4,832,396,050.82/31,887.19
  6. Step 6: Final answer
    x = 151,546.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.