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Finding the Third Proportional to 99,040.50 and 213,864.75

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Solution

The third proportional to 99,040.50 and 213,864.75 is: 461,812.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,040.50 : 213,864.75 = 213,864.75 : x
  2. Step 2: Convert to fraction form
    99,040.50/213,864.75 = 213,864.75/x
  3. Step 3: Cross multiply
    99,040.50x = 213,864.75 × 213,864.75
  4. Step 4: Simplify right side
    99,040.50x = 45,738,131,292.56
  5. Step 5: Solve for x
    x = 45,738,131,292.56/99,040.50
  6. Step 6: Final answer
    x = 461,812.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.