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Finding the Third Proportional to 8,478.81 and 18,464.34

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Solution

The third proportional to 8,478.81 and 18,464.34 is: 40,209.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.81 : 18,464.34 = 18,464.34 : x
  2. Step 2: Convert to fraction form
    8,478.81/18,464.34 = 18,464.34/x
  3. Step 3: Cross multiply
    8,478.81x = 18,464.34 × 18,464.34
  4. Step 4: Simplify right side
    8,478.81x = 340,931,990.12
  5. Step 5: Solve for x
    x = 340,931,990.12/8,478.81
  6. Step 6: Final answer
    x = 40,209.87

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Why These Related Problems?

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