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Finding the Third Proportional to 4,907 and 12,078

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Solution

The third proportional to 4,907 and 12,078 is: 29,728.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907 : 12,078 = 12,078 : x
  2. Step 2: Convert to fraction form
    4,907/12,078 = 12,078/x
  3. Step 3: Cross multiply
    4,907x = 12,078 × 12,078
  4. Step 4: Simplify right side
    4,907x = 145,878,084
  5. Step 5: Solve for x
    x = 145,878,084/4,907
  6. Step 6: Final answer
    x = 29,728.57

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Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.