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Finding the Third Proportional to 283,815 and 426,918

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Solution

The third proportional to 283,815 and 426,918 is: 642,175.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,815 : 426,918 = 426,918 : x
  2. Step 2: Convert to fraction form
    283,815/426,918 = 426,918/x
  3. Step 3: Cross multiply
    283,815x = 426,918 × 426,918
  4. Step 4: Simplify right side
    283,815x = 182,258,978,724
  5. Step 5: Solve for x
    x = 182,258,978,724/283,815
  6. Step 6: Final answer
    x = 642,175.29

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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.