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Finding the Third Proportional to 3,800,104.50 and 8,190,695.25

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Solution

The third proportional to 3,800,104.50 and 8,190,695.25 is: 17,654,116.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800,104.50 : 8,190,695.25 = 8,190,695.25 : x
  2. Step 2: Convert to fraction form
    3,800,104.50/8,190,695.25 = 8,190,695.25/x
  3. Step 3: Cross multiply
    3,800,104.50x = 8,190,695.25 × 8,190,695.25
  4. Step 4: Simplify right side
    3,800,104.50x = 67,087,488,678,372.56
  5. Step 5: Solve for x
    x = 67,087,488,678,372.56/3,800,104.50
  6. Step 6: Final answer
    x = 17,654,116.80

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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.