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Finding the Third Proportional to 19,455 and 41,977

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Solution

The third proportional to 19,455 and 41,977 is: 90,571.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,455 : 41,977 = 41,977 : x
  2. Step 2: Convert to fraction form
    19,455/41,977 = 41,977/x
  3. Step 3: Cross multiply
    19,455x = 41,977 × 41,977
  4. Step 4: Simplify right side
    19,455x = 1,762,068,529
  5. Step 5: Solve for x
    x = 1,762,068,529/19,455
  6. Step 6: Final answer
    x = 90,571.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.