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Finding the Third Proportional to 99,690.75 and 218,759.06

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Solution

The third proportional to 99,690.75 and 218,759.06 is: 480,039.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,690.75 : 218,759.06 = 218,759.06 : x
  2. Step 2: Convert to fraction form
    99,690.75/218,759.06 = 218,759.06/x
  3. Step 3: Cross multiply
    99,690.75x = 218,759.06 × 218,759.06
  4. Step 4: Simplify right side
    99,690.75x = 47,855,527,425.88
  5. Step 5: Solve for x
    x = 47,855,527,425.88/99,690.75
  6. Step 6: Final answer
    x = 480,039.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.