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Finding the Third Proportional to 99,289.13 and 218,619

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Solution

The third proportional to 99,289.13 and 218,619 is: 481,364.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,289.13 : 218,619 = 218,619 : x
  2. Step 2: Convert to fraction form
    99,289.13/218,619 = 218,619/x
  3. Step 3: Cross multiply
    99,289.13x = 218,619 × 218,619
  4. Step 4: Simplify right side
    99,289.13x = 47,794,267,161
  5. Step 5: Solve for x
    x = 47,794,267,161/99,289.13
  6. Step 6: Final answer
    x = 481,364.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.