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Finding the Third Proportional to 81,356.25 and 168,861

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Solution

The third proportional to 81,356.25 and 168,861 is: 350,483.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,356.25 : 168,861 = 168,861 : x
  2. Step 2: Convert to fraction form
    81,356.25/168,861 = 168,861/x
  3. Step 3: Cross multiply
    81,356.25x = 168,861 × 168,861
  4. Step 4: Simplify right side
    81,356.25x = 28,514,037,321
  5. Step 5: Solve for x
    x = 28,514,037,321/81,356.25
  6. Step 6: Final answer
    x = 350,483.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.