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Finding the Third Proportional to 100,619.88 and 207,618.75

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Solution

The third proportional to 100,619.88 and 207,618.75 is: 428,399.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,619.88 : 207,618.75 = 207,618.75 : x
  2. Step 2: Convert to fraction form
    100,619.88/207,618.75 = 207,618.75/x
  3. Step 3: Cross multiply
    100,619.88x = 207,618.75 × 207,618.75
  4. Step 4: Simplify right side
    100,619.88x = 43,105,545,351.56
  5. Step 5: Solve for x
    x = 43,105,545,351.56/100,619.88
  6. Step 6: Final answer
    x = 428,399.91

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.