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Finding the Third Proportional to 77,290 and 162,881

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Solution

The third proportional to 77,290 and 162,881 is: 343,255.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,290 : 162,881 = 162,881 : x
  2. Step 2: Convert to fraction form
    77,290/162,881 = 162,881/x
  3. Step 3: Cross multiply
    77,290x = 162,881 × 162,881
  4. Step 4: Simplify right side
    77,290x = 26,530,220,161
  5. Step 5: Solve for x
    x = 26,530,220,161/77,290
  6. Step 6: Final answer
    x = 343,255.53

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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.