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Finding the Third Proportional to 81,973 and 169,057

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Solution

The third proportional to 81,973 and 169,057 is: 348,654.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,973 : 169,057 = 169,057 : x
  2. Step 2: Convert to fraction form
    81,973/169,057 = 169,057/x
  3. Step 3: Cross multiply
    81,973x = 169,057 × 169,057
  4. Step 4: Simplify right side
    81,973x = 28,580,269,249
  5. Step 5: Solve for x
    x = 28,580,269,249/81,973
  6. Step 6: Final answer
    x = 348,654.67

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.