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Finding the Third Proportional to 8,319 and 10,907

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Solution

The third proportional to 8,319 and 10,907 is: 14,300.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,319 : 10,907 = 10,907 : x
  2. Step 2: Convert to fraction form
    8,319/10,907 = 10,907/x
  3. Step 3: Cross multiply
    8,319x = 10,907 × 10,907
  4. Step 4: Simplify right side
    8,319x = 118,962,649
  5. Step 5: Solve for x
    x = 118,962,649/8,319
  6. Step 6: Final answer
    x = 14,300.11

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.