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Finding the Third Proportional to 511,679 and 767,579

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Solution

The third proportional to 511,679 and 767,579 is: 1,151,459.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,679 : 767,579 = 767,579 : x
  2. Step 2: Convert to fraction form
    511,679/767,579 = 767,579/x
  3. Step 3: Cross multiply
    511,679x = 767,579 × 767,579
  4. Step 4: Simplify right side
    511,679x = 589,177,521,241
  5. Step 5: Solve for x
    x = 589,177,521,241/511,679
  6. Step 6: Final answer
    x = 1,151,459.26

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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.