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Finding the Third Proportional to 781,108 and 1,179,999

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Solution

The third proportional to 781,108 and 1,179,999 is: 1,782,592.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,108 : 1,179,999 = 1,179,999 : x
  2. Step 2: Convert to fraction form
    781,108/1,179,999 = 1,179,999/x
  3. Step 3: Cross multiply
    781,108x = 1,179,999 × 1,179,999
  4. Step 4: Simplify right side
    781,108x = 1,392,397,640,001
  5. Step 5: Solve for x
    x = 1,392,397,640,001/781,108
  6. Step 6: Final answer
    x = 1,782,592.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.