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Finding the Third Proportional to 106,724 and 142,812

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Solution

The third proportional to 106,724 and 142,812 is: 191,102.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,724 : 142,812 = 142,812 : x
  2. Step 2: Convert to fraction form
    106,724/142,812 = 142,812/x
  3. Step 3: Cross multiply
    106,724x = 142,812 × 142,812
  4. Step 4: Simplify right side
    106,724x = 20,395,267,344
  5. Step 5: Solve for x
    x = 20,395,267,344/106,724
  6. Step 6: Final answer
    x = 191,102.91

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.