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Finding the Third Proportional to 34,380 and 51,777

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Solution

The third proportional to 34,380 and 51,777 is: 77,977.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,380 : 51,777 = 51,777 : x
  2. Step 2: Convert to fraction form
    34,380/51,777 = 51,777/x
  3. Step 3: Cross multiply
    34,380x = 51,777 × 51,777
  4. Step 4: Simplify right side
    34,380x = 2,680,857,729
  5. Step 5: Solve for x
    x = 2,680,857,729/34,380
  6. Step 6: Final answer
    x = 77,977.25

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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.