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Finding the Third Proportional to 8,289.84 and 17,490.94

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Solution

The third proportional to 8,289.84 and 17,490.94 is: 36,904.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.84 : 17,490.94 = 17,490.94 : x
  2. Step 2: Convert to fraction form
    8,289.84/17,490.94 = 17,490.94/x
  3. Step 3: Cross multiply
    8,289.84x = 17,490.94 × 17,490.94
  4. Step 4: Simplify right side
    8,289.84x = 305,932,894.63
  5. Step 5: Solve for x
    x = 305,932,894.63/8,289.84
  6. Step 6: Final answer
    x = 36,904.54

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.