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Finding the Third Proportional to 128,828 and 274,774

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Solution

The third proportional to 128,828 and 274,774 is: 586,058.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,828 : 274,774 = 274,774 : x
  2. Step 2: Convert to fraction form
    128,828/274,774 = 274,774/x
  3. Step 3: Cross multiply
    128,828x = 274,774 × 274,774
  4. Step 4: Simplify right side
    128,828x = 75,500,751,076
  5. Step 5: Solve for x
    x = 75,500,751,076/128,828
  6. Step 6: Final answer
    x = 586,058.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.