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Finding the Third Proportional to 8,404.88 and 18,288.75

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Solution

The third proportional to 8,404.88 and 18,288.75 is: 39,795.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,404.88 : 18,288.75 = 18,288.75 : x
  2. Step 2: Convert to fraction form
    8,404.88/18,288.75 = 18,288.75/x
  3. Step 3: Cross multiply
    8,404.88x = 18,288.75 × 18,288.75
  4. Step 4: Simplify right side
    8,404.88x = 334,478,376.56
  5. Step 5: Solve for x
    x = 334,478,376.56/8,404.88
  6. Step 6: Final answer
    x = 39,795.76

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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.