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Finding the Third Proportional to 109,811.75 and 239,763.25

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Solution

The third proportional to 109,811.75 and 239,763.25 is: 523,499.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,811.75 : 239,763.25 = 239,763.25 : x
  2. Step 2: Convert to fraction form
    109,811.75/239,763.25 = 239,763.25/x
  3. Step 3: Cross multiply
    109,811.75x = 239,763.25 × 239,763.25
  4. Step 4: Simplify right side
    109,811.75x = 57,486,416,050.56
  5. Step 5: Solve for x
    x = 57,486,416,050.56/109,811.75
  6. Step 6: Final answer
    x = 523,499.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.