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Finding the Third Proportional to 9,278 and 20,629

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Solution

The third proportional to 9,278 and 20,629 is: 45,867.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278 : 20,629 = 20,629 : x
  2. Step 2: Convert to fraction form
    9,278/20,629 = 20,629/x
  3. Step 3: Cross multiply
    9,278x = 20,629 × 20,629
  4. Step 4: Simplify right side
    9,278x = 425,555,641
  5. Step 5: Solve for x
    x = 425,555,641/9,278
  6. Step 6: Final answer
    x = 45,867.17

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.