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Finding the Third Proportional to 1,820,165 and 3,949,731

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Solution

The third proportional to 1,820,165 and 3,949,731 is: 8,570,857.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820,165 : 3,949,731 = 3,949,731 : x
  2. Step 2: Convert to fraction form
    1,820,165/3,949,731 = 3,949,731/x
  3. Step 3: Cross multiply
    1,820,165x = 3,949,731 × 3,949,731
  4. Step 4: Simplify right side
    1,820,165x = 15,600,374,972,361
  5. Step 5: Solve for x
    x = 15,600,374,972,361/1,820,165
  6. Step 6: Final answer
    x = 8,570,857.57

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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.