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Finding the Third Proportional to 103,828 and 162,690

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Solution

The third proportional to 103,828 and 162,690 is: 254,921.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,828 : 162,690 = 162,690 : x
  2. Step 2: Convert to fraction form
    103,828/162,690 = 162,690/x
  3. Step 3: Cross multiply
    103,828x = 162,690 × 162,690
  4. Step 4: Simplify right side
    103,828x = 26,468,036,100
  5. Step 5: Solve for x
    x = 26,468,036,100/103,828
  6. Step 6: Final answer
    x = 254,921.95

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.