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Finding the Third Proportional to 5,180 and 7,942

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Solution

The third proportional to 5,180 and 7,942 is: 12,176.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180 : 7,942 = 7,942 : x
  2. Step 2: Convert to fraction form
    5,180/7,942 = 7,942/x
  3. Step 3: Cross multiply
    5,180x = 7,942 × 7,942
  4. Step 4: Simplify right side
    5,180x = 63,075,364
  5. Step 5: Solve for x
    x = 63,075,364/5,180
  6. Step 6: Final answer
    x = 12,176.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.