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Finding the Third Proportional to 100,561.50 and 209,390.06

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Solution

The third proportional to 100,561.50 and 209,390.06 is: 435,993.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,561.50 : 209,390.06 = 209,390.06 : x
  2. Step 2: Convert to fraction form
    100,561.50/209,390.06 = 209,390.06/x
  3. Step 3: Cross multiply
    100,561.50x = 209,390.06 × 209,390.06
  4. Step 4: Simplify right side
    100,561.50x = 43,844,198,273.75
  5. Step 5: Solve for x
    x = 43,844,198,273.75/100,561.50
  6. Step 6: Final answer
    x = 435,993.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.