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Finding the Third Proportional to 81,905 and 168,316

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Solution

The third proportional to 81,905 and 168,316 is: 345,891.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,905 : 168,316 = 168,316 : x
  2. Step 2: Convert to fraction form
    81,905/168,316 = 168,316/x
  3. Step 3: Cross multiply
    81,905x = 168,316 × 168,316
  4. Step 4: Simplify right side
    81,905x = 28,330,275,856
  5. Step 5: Solve for x
    x = 28,330,275,856/81,905
  6. Step 6: Final answer
    x = 345,891.90

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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.