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Finding the Third Proportional to 8,657.30 and 18,638.86

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Solution

The third proportional to 8,657.30 and 18,638.86 is: 40,128.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.30 : 18,638.86 = 18,638.86 : x
  2. Step 2: Convert to fraction form
    8,657.30/18,638.86 = 18,638.86/x
  3. Step 3: Cross multiply
    8,657.30x = 18,638.86 × 18,638.86
  4. Step 4: Simplify right side
    8,657.30x = 347,407,078.80
  5. Step 5: Solve for x
    x = 347,407,078.80/8,657.30
  6. Step 6: Final answer
    x = 40,128.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.