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Finding the Third Proportional to 56,911 and 81,977

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Solution

The third proportional to 56,911 and 81,977 is: 118,083.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,911 : 81,977 = 81,977 : x
  2. Step 2: Convert to fraction form
    56,911/81,977 = 81,977/x
  3. Step 3: Cross multiply
    56,911x = 81,977 × 81,977
  4. Step 4: Simplify right side
    56,911x = 6,720,228,529
  5. Step 5: Solve for x
    x = 6,720,228,529/56,911
  6. Step 6: Final answer
    x = 118,083.12

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.