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Finding the Third Proportional to 7,895 and 17,278

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Solution

The third proportional to 7,895 and 17,278 is: 37,812.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,895 : 17,278 = 17,278 : x
  2. Step 2: Convert to fraction form
    7,895/17,278 = 17,278/x
  3. Step 3: Cross multiply
    7,895x = 17,278 × 17,278
  4. Step 4: Simplify right side
    7,895x = 298,529,284
  5. Step 5: Solve for x
    x = 298,529,284/7,895
  6. Step 6: Final answer
    x = 37,812.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.