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Finding the Third Proportional to 8,558 and 9,278

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Solution

The third proportional to 8,558 and 9,278 is: 10,058.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,558 : 9,278 = 9,278 : x
  2. Step 2: Convert to fraction form
    8,558/9,278 = 9,278/x
  3. Step 3: Cross multiply
    8,558x = 9,278 × 9,278
  4. Step 4: Simplify right side
    8,558x = 86,081,284
  5. Step 5: Solve for x
    x = 86,081,284/8,558
  6. Step 6: Final answer
    x = 10,058.57

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.