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Finding the Third Proportional to 53,828 and 106,280

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Solution

The third proportional to 53,828 and 106,280 is: 209,843.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,828 : 106,280 = 106,280 : x
  2. Step 2: Convert to fraction form
    53,828/106,280 = 106,280/x
  3. Step 3: Cross multiply
    53,828x = 106,280 × 106,280
  4. Step 4: Simplify right side
    53,828x = 11,295,438,400
  5. Step 5: Solve for x
    x = 11,295,438,400/53,828
  6. Step 6: Final answer
    x = 209,843.17

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.