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Finding the Third Proportional to 664,941 and 1,424,409

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Solution

The third proportional to 664,941 and 1,424,409 is: 3,051,309.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,941 : 1,424,409 = 1,424,409 : x
  2. Step 2: Convert to fraction form
    664,941/1,424,409 = 1,424,409/x
  3. Step 3: Cross multiply
    664,941x = 1,424,409 × 1,424,409
  4. Step 4: Simplify right side
    664,941x = 2,028,940,999,281
  5. Step 5: Solve for x
    x = 2,028,940,999,281/664,941
  6. Step 6: Final answer
    x = 3,051,309.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.