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Finding the Third Proportional to 31,578 and 68,075

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Solution

The third proportional to 31,578 and 68,075 is: 146,754.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,578 : 68,075 = 68,075 : x
  2. Step 2: Convert to fraction form
    31,578/68,075 = 68,075/x
  3. Step 3: Cross multiply
    31,578x = 68,075 × 68,075
  4. Step 4: Simplify right side
    31,578x = 4,634,205,625
  5. Step 5: Solve for x
    x = 4,634,205,625/31,578
  6. Step 6: Final answer
    x = 146,754.25

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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.