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Finding the Third Proportional to 3,977,946 and 8,589,755.25

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Solution

The third proportional to 3,977,946 and 8,589,755.25 is: 18,548,239.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977,946 : 8,589,755.25 = 8,589,755.25 : x
  2. Step 2: Convert to fraction form
    3,977,946/8,589,755.25 = 8,589,755.25/x
  3. Step 3: Cross multiply
    3,977,946x = 8,589,755.25 × 8,589,755.25
  4. Step 4: Simplify right side
    3,977,946x = 73,783,895,254,902.56
  5. Step 5: Solve for x
    x = 73,783,895,254,902.56/3,977,946
  6. Step 6: Final answer
    x = 18,548,239.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.