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Finding the Third Proportional to 666,326 and 1,439,041

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Solution

The third proportional to 666,326 and 1,439,041 is: 3,107,846.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,326 : 1,439,041 = 1,439,041 : x
  2. Step 2: Convert to fraction form
    666,326/1,439,041 = 1,439,041/x
  3. Step 3: Cross multiply
    666,326x = 1,439,041 × 1,439,041
  4. Step 4: Simplify right side
    666,326x = 2,070,838,999,681
  5. Step 5: Solve for x
    x = 2,070,838,999,681/666,326
  6. Step 6: Final answer
    x = 3,107,846.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.