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Finding the Third Proportional to 7,984 and 12,635

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Solution

The third proportional to 7,984 and 12,635 is: 19,995.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984 : 12,635 = 12,635 : x
  2. Step 2: Convert to fraction form
    7,984/12,635 = 12,635/x
  3. Step 3: Cross multiply
    7,984x = 12,635 × 12,635
  4. Step 4: Simplify right side
    7,984x = 159,643,225
  5. Step 5: Solve for x
    x = 159,643,225/7,984
  6. Step 6: Final answer
    x = 19,995.39

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.