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Finding the Third Proportional to 4,078 and 4,558

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Solution

The third proportional to 4,078 and 4,558 is: 5,094.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078 : 4,558 = 4,558 : x
  2. Step 2: Convert to fraction form
    4,078/4,558 = 4,558/x
  3. Step 3: Cross multiply
    4,078x = 4,558 × 4,558
  4. Step 4: Simplify right side
    4,078x = 20,775,364
  5. Step 5: Solve for x
    x = 20,775,364/4,078
  6. Step 6: Final answer
    x = 5,094.50

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.