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Finding the Third Proportional to 13,275 and 28,278

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Solution

The third proportional to 13,275 and 28,278 is: 60,236.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,275 : 28,278 = 28,278 : x
  2. Step 2: Convert to fraction form
    13,275/28,278 = 28,278/x
  3. Step 3: Cross multiply
    13,275x = 28,278 × 28,278
  4. Step 4: Simplify right side
    13,275x = 799,645,284
  5. Step 5: Solve for x
    x = 799,645,284/13,275
  6. Step 6: Final answer
    x = 60,236.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.