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Finding the Third Proportional to 511,406 and 767,109

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Solution

The third proportional to 511,406 and 767,109 is: 1,150,663.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,406 : 767,109 = 767,109 : x
  2. Step 2: Convert to fraction form
    511,406/767,109 = 767,109/x
  3. Step 3: Cross multiply
    511,406x = 767,109 × 767,109
  4. Step 4: Simplify right side
    511,406x = 588,456,217,881
  5. Step 5: Solve for x
    x = 588,456,217,881/511,406
  6. Step 6: Final answer
    x = 1,150,663.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.