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Finding the Third Proportional to 99,786.94 and 210,812.63

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Solution

The third proportional to 99,786.94 and 210,812.63 is: 445,368.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,786.94 : 210,812.63 = 210,812.63 : x
  2. Step 2: Convert to fraction form
    99,786.94/210,812.63 = 210,812.63/x
  3. Step 3: Cross multiply
    99,786.94x = 210,812.63 × 210,812.63
  4. Step 4: Simplify right side
    99,786.94x = 44,441,962,859.39
  5. Step 5: Solve for x
    x = 44,441,962,859.39/99,786.94
  6. Step 6: Final answer
    x = 445,368.54

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.