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Finding the Third Proportional to 3,810,821 and 8,174,225

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Solution

The third proportional to 3,810,821 and 8,174,225 is: 17,533,742.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810,821 : 8,174,225 = 8,174,225 : x
  2. Step 2: Convert to fraction form
    3,810,821/8,174,225 = 8,174,225/x
  3. Step 3: Cross multiply
    3,810,821x = 8,174,225 × 8,174,225
  4. Step 4: Simplify right side
    3,810,821x = 66,817,954,350,625
  5. Step 5: Solve for x
    x = 66,817,954,350,625/3,810,821
  6. Step 6: Final answer
    x = 17,533,742.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.