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Finding the Third Proportional to 55,777 and 81,805

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Solution

The third proportional to 55,777 and 81,805 is: 119,978.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,777 : 81,805 = 81,805 : x
  2. Step 2: Convert to fraction form
    55,777/81,805 = 81,805/x
  3. Step 3: Cross multiply
    55,777x = 81,805 × 81,805
  4. Step 4: Simplify right side
    55,777x = 6,692,058,025
  5. Step 5: Solve for x
    x = 6,692,058,025/55,777
  6. Step 6: Final answer
    x = 119,978.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.