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Finding the Third Proportional to 71,973 and 159,651

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Solution

The third proportional to 71,973 and 159,651 is: 354,138.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,973 : 159,651 = 159,651 : x
  2. Step 2: Convert to fraction form
    71,973/159,651 = 159,651/x
  3. Step 3: Cross multiply
    71,973x = 159,651 × 159,651
  4. Step 4: Simplify right side
    71,973x = 25,488,441,801
  5. Step 5: Solve for x
    x = 25,488,441,801/71,973
  6. Step 6: Final answer
    x = 354,138.94

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.