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Finding the Third Proportional to 70,828 and 106,790

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Solution

The third proportional to 70,828 and 106,790 is: 161,011.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,828 : 106,790 = 106,790 : x
  2. Step 2: Convert to fraction form
    70,828/106,790 = 106,790/x
  3. Step 3: Cross multiply
    70,828x = 106,790 × 106,790
  4. Step 4: Simplify right side
    70,828x = 11,404,104,100
  5. Step 5: Solve for x
    x = 11,404,104,100/70,828
  6. Step 6: Final answer
    x = 161,011.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.