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Finding the Third Proportional to 100,299.66 and 155,806.88

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Solution

The third proportional to 100,299.66 and 155,806.88 is: 242,032.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,299.66 : 155,806.88 = 155,806.88 : x
  2. Step 2: Convert to fraction form
    100,299.66/155,806.88 = 155,806.88/x
  3. Step 3: Cross multiply
    100,299.66x = 155,806.88 × 155,806.88
  4. Step 4: Simplify right side
    100,299.66x = 24,275,782,297.27
  5. Step 5: Solve for x
    x = 24,275,782,297.27/100,299.66
  6. Step 6: Final answer
    x = 242,032.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.