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Finding the Third Proportional to 106,478 and 159,719

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Solution

The third proportional to 106,478 and 159,719 is: 239,581.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,478 : 159,719 = 159,719 : x
  2. Step 2: Convert to fraction form
    106,478/159,719 = 159,719/x
  3. Step 3: Cross multiply
    106,478x = 159,719 × 159,719
  4. Step 4: Simplify right side
    106,478x = 25,510,158,961
  5. Step 5: Solve for x
    x = 25,510,158,961/106,478
  6. Step 6: Final answer
    x = 239,581.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.