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Finding the Third Proportional to 60,777 and 91,977

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Solution

The third proportional to 60,777 and 91,977 is: 139,193.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,777 : 91,977 = 91,977 : x
  2. Step 2: Convert to fraction form
    60,777/91,977 = 91,977/x
  3. Step 3: Cross multiply
    60,777x = 91,977 × 91,977
  4. Step 4: Simplify right side
    60,777x = 8,459,768,529
  5. Step 5: Solve for x
    x = 8,459,768,529/60,777
  6. Step 6: Final answer
    x = 139,193.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.