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Finding the Third Proportional to 4,153.78 and 8,999.65

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Solution

The third proportional to 4,153.78 and 8,999.65 is: 19,498.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.78 : 8,999.65 = 8,999.65 : x
  2. Step 2: Convert to fraction form
    4,153.78/8,999.65 = 8,999.65/x
  3. Step 3: Cross multiply
    4,153.78x = 8,999.65 × 8,999.65
  4. Step 4: Simplify right side
    4,153.78x = 80,993,672.00
  5. Step 5: Solve for x
    x = 80,993,672.00/4,153.78
  6. Step 6: Final answer
    x = 19,498.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.