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Finding the Third Proportional to 8,290 and 19,942

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Solution

The third proportional to 8,290 and 19,942 is: 47,971.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290 : 19,942 = 19,942 : x
  2. Step 2: Convert to fraction form
    8,290/19,942 = 19,942/x
  3. Step 3: Cross multiply
    8,290x = 19,942 × 19,942
  4. Step 4: Simplify right side
    8,290x = 397,683,364
  5. Step 5: Solve for x
    x = 397,683,364/8,290
  6. Step 6: Final answer
    x = 47,971.46

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.