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Finding the Third Proportional to 7,445 and 11,243

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Solution

The third proportional to 7,445 and 11,243 is: 16,978.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,445 : 11,243 = 11,243 : x
  2. Step 2: Convert to fraction form
    7,445/11,243 = 11,243/x
  3. Step 3: Cross multiply
    7,445x = 11,243 × 11,243
  4. Step 4: Simplify right side
    7,445x = 126,405,049
  5. Step 5: Solve for x
    x = 126,405,049/7,445
  6. Step 6: Final answer
    x = 16,978.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.