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Finding the Third Proportional to 664,679 and 1,449,657

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Solution

The third proportional to 664,679 and 1,449,657 is: 3,161,684.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,679 : 1,449,657 = 1,449,657 : x
  2. Step 2: Convert to fraction form
    664,679/1,449,657 = 1,449,657/x
  3. Step 3: Cross multiply
    664,679x = 1,449,657 × 1,449,657
  4. Step 4: Simplify right side
    664,679x = 2,101,505,417,649
  5. Step 5: Solve for x
    x = 2,101,505,417,649/664,679
  6. Step 6: Final answer
    x = 3,161,684.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.