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Finding the Third Proportional to 4,112.02 and 8,941.64

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Solution

The third proportional to 4,112.02 and 8,941.64 is: 19,443.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,112.02 : 8,941.64 = 8,941.64 : x
  2. Step 2: Convert to fraction form
    4,112.02/8,941.64 = 8,941.64/x
  3. Step 3: Cross multiply
    4,112.02x = 8,941.64 × 8,941.64
  4. Step 4: Simplify right side
    4,112.02x = 79,952,937.07
  5. Step 5: Solve for x
    x = 79,952,937.07/4,112.02
  6. Step 6: Final answer
    x = 19,443.73

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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.