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Finding the Third Proportional to 8,697.38 and 18,761.63

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Solution

The third proportional to 8,697.38 and 18,761.63 is: 40,471.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,697.38 : 18,761.63 = 18,761.63 : x
  2. Step 2: Convert to fraction form
    8,697.38/18,761.63 = 18,761.63/x
  3. Step 3: Cross multiply
    8,697.38x = 18,761.63 × 18,761.63
  4. Step 4: Simplify right side
    8,697.38x = 351,998,572.64
  5. Step 5: Solve for x
    x = 351,998,572.64/8,697.38
  6. Step 6: Final answer
    x = 40,471.82

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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.