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Finding the Third Proportional to 511,429 and 767,144

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Solution

The third proportional to 511,429 and 767,144 is: 1,150,716.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,429 : 767,144 = 767,144 : x
  2. Step 2: Convert to fraction form
    511,429/767,144 = 767,144/x
  3. Step 3: Cross multiply
    511,429x = 767,144 × 767,144
  4. Step 4: Simplify right side
    511,429x = 588,509,916,736
  5. Step 5: Solve for x
    x = 588,509,916,736/511,429
  6. Step 6: Final answer
    x = 1,150,716.75

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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.