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Finding the Third Proportional to 7,984 and 10,120

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Solution

The third proportional to 7,984 and 10,120 is: 12,827.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984 : 10,120 = 10,120 : x
  2. Step 2: Convert to fraction form
    7,984/10,120 = 10,120/x
  3. Step 3: Cross multiply
    7,984x = 10,120 × 10,120
  4. Step 4: Simplify right side
    7,984x = 102,414,400
  5. Step 5: Solve for x
    x = 102,414,400/7,984
  6. Step 6: Final answer
    x = 12,827.45

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.