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Finding the Third Proportional to 81,772 and 168,646

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Solution

The third proportional to 81,772 and 168,646 is: 347,814.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,772 : 168,646 = 168,646 : x
  2. Step 2: Convert to fraction form
    81,772/168,646 = 168,646/x
  3. Step 3: Cross multiply
    81,772x = 168,646 × 168,646
  4. Step 4: Simplify right side
    81,772x = 28,441,473,316
  5. Step 5: Solve for x
    x = 28,441,473,316/81,772
  6. Step 6: Final answer
    x = 347,814.33

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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.