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Finding the Third Proportional to 31,977 and 69,777

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Solution

The third proportional to 31,977 and 69,777 is: 152,260.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,977 : 69,777 = 69,777 : x
  2. Step 2: Convert to fraction form
    31,977/69,777 = 69,777/x
  3. Step 3: Cross multiply
    31,977x = 69,777 × 69,777
  4. Step 4: Simplify right side
    31,977x = 4,868,829,729
  5. Step 5: Solve for x
    x = 4,868,829,729/31,977
  6. Step 6: Final answer
    x = 152,260.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.