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Finding the Third Proportional to 69,721 and 106,673

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Solution

The third proportional to 69,721 and 106,673 is: 163,209.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,721 : 106,673 = 106,673 : x
  2. Step 2: Convert to fraction form
    69,721/106,673 = 106,673/x
  3. Step 3: Cross multiply
    69,721x = 106,673 × 106,673
  4. Step 4: Simplify right side
    69,721x = 11,379,128,929
  5. Step 5: Solve for x
    x = 11,379,128,929/69,721
  6. Step 6: Final answer
    x = 163,209.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.