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Finding the Third Proportional to 6,480 and 9,078

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Solution

The third proportional to 6,480 and 9,078 is: 12,717.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480 : 9,078 = 9,078 : x
  2. Step 2: Convert to fraction form
    6,480/9,078 = 9,078/x
  3. Step 3: Cross multiply
    6,480x = 9,078 × 9,078
  4. Step 4: Simplify right side
    6,480x = 82,410,084
  5. Step 5: Solve for x
    x = 82,410,084/6,480
  6. Step 6: Final answer
    x = 12,717.61

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.