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Finding the Third Proportional to 8,657.72 and 18,682.31

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Solution

The third proportional to 8,657.72 and 18,682.31 is: 40,314.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.72 : 18,682.31 = 18,682.31 : x
  2. Step 2: Convert to fraction form
    8,657.72/18,682.31 = 18,682.31/x
  3. Step 3: Cross multiply
    8,657.72x = 18,682.31 × 18,682.31
  4. Step 4: Simplify right side
    8,657.72x = 349,028,800.35
  5. Step 5: Solve for x
    x = 349,028,800.35/8,657.72
  6. Step 6: Final answer
    x = 40,314.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.