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Finding the Third Proportional to 8,397.28 and 18,329.63

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Solution

The third proportional to 8,397.28 and 18,329.63 is: 40,009.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,397.28 : 18,329.63 = 18,329.63 : x
  2. Step 2: Convert to fraction form
    8,397.28/18,329.63 = 18,329.63/x
  3. Step 3: Cross multiply
    8,397.28x = 18,329.63 × 18,329.63
  4. Step 4: Simplify right side
    8,397.28x = 335,975,152.64
  5. Step 5: Solve for x
    x = 335,975,152.64/8,397.28
  6. Step 6: Final answer
    x = 40,009.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.