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Finding the Third Proportional to 77,270 and 178,881

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Solution

The third proportional to 77,270 and 178,881 is: 414,111.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,270 : 178,881 = 178,881 : x
  2. Step 2: Convert to fraction form
    77,270/178,881 = 178,881/x
  3. Step 3: Cross multiply
    77,270x = 178,881 × 178,881
  4. Step 4: Simplify right side
    77,270x = 31,998,412,161
  5. Step 5: Solve for x
    x = 31,998,412,161/77,270
  6. Step 6: Final answer
    x = 414,111.71

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.