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Finding the Third Proportional to 81,639 and 179,316

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Solution

The third proportional to 81,639 and 179,316 is: 393,858.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,639 : 179,316 = 179,316 : x
  2. Step 2: Convert to fraction form
    81,639/179,316 = 179,316/x
  3. Step 3: Cross multiply
    81,639x = 179,316 × 179,316
  4. Step 4: Simplify right side
    81,639x = 32,154,227,856
  5. Step 5: Solve for x
    x = 32,154,227,856/81,639
  6. Step 6: Final answer
    x = 393,858.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.