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Finding the Third Proportional to 100,288.13 and 155,788.31

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Solution

The third proportional to 100,288.13 and 155,788.31 is: 242,002.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,288.13 : 155,788.31 = 155,788.31 : x
  2. Step 2: Convert to fraction form
    100,288.13/155,788.31 = 155,788.31/x
  3. Step 3: Cross multiply
    100,288.13x = 155,788.31 × 155,788.31
  4. Step 4: Simplify right side
    100,288.13x = 24,269,998,311.60
  5. Step 5: Solve for x
    x = 24,269,998,311.60/100,288.13
  6. Step 6: Final answer
    x = 242,002.71

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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.