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Finding the Third Proportional to 8,315.72 and 18,172.97

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Solution

The third proportional to 8,315.72 and 18,172.97 is: 39,714.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.72 : 18,172.97 = 18,172.97 : x
  2. Step 2: Convert to fraction form
    8,315.72/18,172.97 = 18,172.97/x
  3. Step 3: Cross multiply
    8,315.72x = 18,172.97 × 18,172.97
  4. Step 4: Simplify right side
    8,315.72x = 330,256,793.19
  5. Step 5: Solve for x
    x = 330,256,793.19/8,315.72
  6. Step 6: Final answer
    x = 39,714.76

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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.