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Finding the Third Proportional to 7,738 and 12,458

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Solution

The third proportional to 7,738 and 12,458 is: 20,057.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738 : 12,458 = 12,458 : x
  2. Step 2: Convert to fraction form
    7,738/12,458 = 12,458/x
  3. Step 3: Cross multiply
    7,738x = 12,458 × 12,458
  4. Step 4: Simplify right side
    7,738x = 155,201,764
  5. Step 5: Solve for x
    x = 155,201,764/7,738
  6. Step 6: Final answer
    x = 20,057.09

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.