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Finding the Third Proportional to 8,728,431.75 and 18,967,716

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Solution

The third proportional to 8,728,431.75 and 18,967,716 is: 41,218,658.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,728,431.75 : 18,967,716 = 18,967,716 : x
  2. Step 2: Convert to fraction form
    8,728,431.75/18,967,716 = 18,967,716/x
  3. Step 3: Cross multiply
    8,728,431.75x = 18,967,716 × 18,967,716
  4. Step 4: Simplify right side
    8,728,431.75x = 359,774,250,256,656
  5. Step 5: Solve for x
    x = 359,774,250,256,656/8,728,431.75
  6. Step 6: Final answer
    x = 41,218,658.81

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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.