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Finding the Third Proportional to 4,989.09 and 10,919.81

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Solution

The third proportional to 4,989.09 and 10,919.81 is: 23,900.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,989.09 : 10,919.81 = 10,919.81 : x
  2. Step 2: Convert to fraction form
    4,989.09/10,919.81 = 10,919.81/x
  3. Step 3: Cross multiply
    4,989.09x = 10,919.81 × 10,919.81
  4. Step 4: Simplify right side
    4,989.09x = 119,242,305.04
  5. Step 5: Solve for x
    x = 119,242,305.04/4,989.09
  6. Step 6: Final answer
    x = 23,900.59

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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.