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Finding the Third Proportional to 106,421 and 166,976

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Solution

The third proportional to 106,421 and 166,976 is: 261,987.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,421 : 166,976 = 166,976 : x
  2. Step 2: Convert to fraction form
    106,421/166,976 = 166,976/x
  3. Step 3: Cross multiply
    106,421x = 166,976 × 166,976
  4. Step 4: Simplify right side
    106,421x = 27,880,984,576
  5. Step 5: Solve for x
    x = 27,880,984,576/106,421
  6. Step 6: Final answer
    x = 261,987.62

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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.