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Finding the Third Proportional to 100,399.50 and 161,422.88

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Solution

The third proportional to 100,399.50 and 161,422.88 is: 259,536.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,399.50 : 161,422.88 = 161,422.88 : x
  2. Step 2: Convert to fraction form
    100,399.50/161,422.88 = 161,422.88/x
  3. Step 3: Cross multiply
    100,399.50x = 161,422.88 × 161,422.88
  4. Step 4: Simplify right side
    100,399.50x = 26,057,344,573.27
  5. Step 5: Solve for x
    x = 26,057,344,573.27/100,399.50
  6. Step 6: Final answer
    x = 259,536.60

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.