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Finding the Third Proportional to 3,783,573 and 8,197,002

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Solution

The third proportional to 3,783,573 and 8,197,002 is: 17,758,568.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783,573 : 8,197,002 = 8,197,002 : x
  2. Step 2: Convert to fraction form
    3,783,573/8,197,002 = 8,197,002/x
  3. Step 3: Cross multiply
    3,783,573x = 8,197,002 × 8,197,002
  4. Step 4: Simplify right side
    3,783,573x = 67,190,841,788,004
  5. Step 5: Solve for x
    x = 67,190,841,788,004/3,783,573
  6. Step 6: Final answer
    x = 17,758,568.89

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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.