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Finding the Third Proportional to 8,432.44 and 18,322.88

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Solution

The third proportional to 8,432.44 and 18,322.88 is: 39,813.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432.44 : 18,322.88 = 18,322.88 : x
  2. Step 2: Convert to fraction form
    8,432.44/18,322.88 = 18,322.88/x
  3. Step 3: Cross multiply
    8,432.44x = 18,322.88 × 18,322.88
  4. Step 4: Simplify right side
    8,432.44x = 335,727,748.27
  5. Step 5: Solve for x
    x = 335,727,748.27/8,432.44
  6. Step 6: Final answer
    x = 39,813.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.