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Finding the Third Proportional to 100,767.75 and 219,679.50

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Solution

The third proportional to 100,767.75 and 219,679.50 is: 478,913.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,767.75 : 219,679.50 = 219,679.50 : x
  2. Step 2: Convert to fraction form
    100,767.75/219,679.50 = 219,679.50/x
  3. Step 3: Cross multiply
    100,767.75x = 219,679.50 × 219,679.50
  4. Step 4: Simplify right side
    100,767.75x = 48,259,082,720.25
  5. Step 5: Solve for x
    x = 48,259,082,720.25/100,767.75
  6. Step 6: Final answer
    x = 478,913.97

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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.