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Finding the Third Proportional to 4,851 and 10,626.75

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Solution

The third proportional to 4,851 and 10,626.75 is: 23,279.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,851 : 10,626.75 = 10,626.75 : x
  2. Step 2: Convert to fraction form
    4,851/10,626.75 = 10,626.75/x
  3. Step 3: Cross multiply
    4,851x = 10,626.75 × 10,626.75
  4. Step 4: Simplify right side
    4,851x = 112,927,815.56
  5. Step 5: Solve for x
    x = 112,927,815.56/4,851
  6. Step 6: Final answer
    x = 23,279.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.