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Finding the Third Proportional to 42,774 and 68,913

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Solution

The third proportional to 42,774 and 68,913 is: 111,025.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,774 : 68,913 = 68,913 : x
  2. Step 2: Convert to fraction form
    42,774/68,913 = 68,913/x
  3. Step 3: Cross multiply
    42,774x = 68,913 × 68,913
  4. Step 4: Simplify right side
    42,774x = 4,749,001,569
  5. Step 5: Solve for x
    x = 4,749,001,569/42,774
  6. Step 6: Final answer
    x = 111,025.43

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.