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Finding the Third Proportional to 8,489.81 and 18,141.47

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Solution

The third proportional to 8,489.81 and 18,141.47 is: 38,765.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.81 : 18,141.47 = 18,141.47 : x
  2. Step 2: Convert to fraction form
    8,489.81/18,141.47 = 18,141.47/x
  3. Step 3: Cross multiply
    8,489.81x = 18,141.47 × 18,141.47
  4. Step 4: Simplify right side
    8,489.81x = 329,112,888.41
  5. Step 5: Solve for x
    x = 329,112,888.41/8,489.81
  6. Step 6: Final answer
    x = 38,765.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.