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Finding the Third Proportional to 31,620.38 and 66,145.36

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Solution

The third proportional to 31,620.38 and 66,145.36 is: 138,366.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,620.38 : 66,145.36 = 66,145.36 : x
  2. Step 2: Convert to fraction form
    31,620.38/66,145.36 = 66,145.36/x
  3. Step 3: Cross multiply
    31,620.38x = 66,145.36 × 66,145.36
  4. Step 4: Simplify right side
    31,620.38x = 4,375,208,566.85
  5. Step 5: Solve for x
    x = 4,375,208,566.85/31,620.38
  6. Step 6: Final answer
    x = 138,366.75

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.