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Finding the Third Proportional to 8,406.56 and 18,445.75

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Solution

The third proportional to 8,406.56 and 18,445.75 is: 40,473.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.56 : 18,445.75 = 18,445.75 : x
  2. Step 2: Convert to fraction form
    8,406.56/18,445.75 = 18,445.75/x
  3. Step 3: Cross multiply
    8,406.56x = 18,445.75 × 18,445.75
  4. Step 4: Simplify right side
    8,406.56x = 340,245,693.06
  5. Step 5: Solve for x
    x = 340,245,693.06/8,406.56
  6. Step 6: Final answer
    x = 40,473.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.