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Finding the Third Proportional to 3,345,600.38 and 7,122,768.75

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Solution

The third proportional to 3,345,600.38 and 7,122,768.75 is: 15,164,343.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,345,600.38 : 7,122,768.75 = 7,122,768.75 : x
  2. Step 2: Convert to fraction form
    3,345,600.38/7,122,768.75 = 7,122,768.75/x
  3. Step 3: Cross multiply
    3,345,600.38x = 7,122,768.75 × 7,122,768.75
  4. Step 4: Simplify right side
    3,345,600.38x = 50,733,834,665,976.56
  5. Step 5: Solve for x
    x = 50,733,834,665,976.56/3,345,600.38
  6. Step 6: Final answer
    x = 15,164,343.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.