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Finding the Third Proportional to 366,326 and 781,039

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Solution

The third proportional to 366,326 and 781,039 is: 1,665,243.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,326 : 781,039 = 781,039 : x
  2. Step 2: Convert to fraction form
    366,326/781,039 = 781,039/x
  3. Step 3: Cross multiply
    366,326x = 781,039 × 781,039
  4. Step 4: Simplify right side
    366,326x = 610,021,919,521
  5. Step 5: Solve for x
    x = 610,021,919,521/366,326
  6. Step 6: Final answer
    x = 1,665,243.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.