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Finding the Third Proportional to 18,878.06 and 39,998.81

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Solution

The third proportional to 18,878.06 and 39,998.81 is: 84,749.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,878.06 : 39,998.81 = 39,998.81 : x
  2. Step 2: Convert to fraction form
    18,878.06/39,998.81 = 39,998.81/x
  3. Step 3: Cross multiply
    18,878.06x = 39,998.81 × 39,998.81
  4. Step 4: Simplify right side
    18,878.06x = 1,599,905,001.41
  5. Step 5: Solve for x
    x = 1,599,905,001.41/18,878.06
  6. Step 6: Final answer
    x = 84,749.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.