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Finding the Third Proportional to 515,180 and 679,074

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Solution

The third proportional to 515,180 and 679,074 is: 895,107.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,180 : 679,074 = 679,074 : x
  2. Step 2: Convert to fraction form
    515,180/679,074 = 679,074/x
  3. Step 3: Cross multiply
    515,180x = 679,074 × 679,074
  4. Step 4: Simplify right side
    515,180x = 461,141,497,476
  5. Step 5: Solve for x
    x = 461,141,497,476/515,180
  6. Step 6: Final answer
    x = 895,107.53

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.