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Finding the Third Proportional to 8,315.16 and 18,171.84

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Solution

The third proportional to 8,315.16 and 18,171.84 is: 39,712.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.16 : 18,171.84 = 18,171.84 : x
  2. Step 2: Convert to fraction form
    8,315.16/18,171.84 = 18,171.84/x
  3. Step 3: Cross multiply
    8,315.16x = 18,171.84 × 18,171.84
  4. Step 4: Simplify right side
    8,315.16x = 330,215,905.27
  5. Step 5: Solve for x
    x = 330,215,905.27/8,315.16
  6. Step 6: Final answer
    x = 39,712.53

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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.