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Finding the Third Proportional to 77,284 and 162,869

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Solution

The third proportional to 77,284 and 162,869 is: 343,231.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,284 : 162,869 = 162,869 : x
  2. Step 2: Convert to fraction form
    77,284/162,869 = 162,869/x
  3. Step 3: Cross multiply
    77,284x = 162,869 × 162,869
  4. Step 4: Simplify right side
    77,284x = 26,526,311,161
  5. Step 5: Solve for x
    x = 26,526,311,161/77,284
  6. Step 6: Final answer
    x = 343,231.60

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.