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Finding the Third Proportional to 664,685 and 1,449,670

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Solution

The third proportional to 664,685 and 1,449,670 is: 3,161,712.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,685 : 1,449,670 = 1,449,670 : x
  2. Step 2: Convert to fraction form
    664,685/1,449,670 = 1,449,670/x
  3. Step 3: Cross multiply
    664,685x = 1,449,670 × 1,449,670
  4. Step 4: Simplify right side
    664,685x = 2,101,543,108,900
  5. Step 5: Solve for x
    x = 2,101,543,108,900/664,685
  6. Step 6: Final answer
    x = 3,161,712.85

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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.