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Finding the Third Proportional to 4,053.09 and 8,731.55

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Solution

The third proportional to 4,053.09 and 8,731.55 is: 18,810.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,053.09 : 8,731.55 = 8,731.55 : x
  2. Step 2: Convert to fraction form
    4,053.09/8,731.55 = 8,731.55/x
  3. Step 3: Cross multiply
    4,053.09x = 8,731.55 × 8,731.55
  4. Step 4: Simplify right side
    4,053.09x = 76,239,910.83
  5. Step 5: Solve for x
    x = 76,239,910.83/4,053.09
  6. Step 6: Final answer
    x = 18,810.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.