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Finding the Third Proportional to 511,169 and 773,918

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Solution

The third proportional to 511,169 and 773,918 is: 1,171,724.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,169 : 773,918 = 773,918 : x
  2. Step 2: Convert to fraction form
    511,169/773,918 = 773,918/x
  3. Step 3: Cross multiply
    511,169x = 773,918 × 773,918
  4. Step 4: Simplify right side
    511,169x = 598,949,070,724
  5. Step 5: Solve for x
    x = 598,949,070,724/511,169
  6. Step 6: Final answer
    x = 1,171,724.17

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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.