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Finding the Third Proportional to 664,680 and 1,449,659

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Solution

The third proportional to 664,680 and 1,449,659 is: 3,161,688.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,680 : 1,449,659 = 1,449,659 : x
  2. Step 2: Convert to fraction form
    664,680/1,449,659 = 1,449,659/x
  3. Step 3: Cross multiply
    664,680x = 1,449,659 × 1,449,659
  4. Step 4: Simplify right side
    664,680x = 2,101,511,216,281
  5. Step 5: Solve for x
    x = 2,101,511,216,281/664,680
  6. Step 6: Final answer
    x = 3,161,688.66

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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.