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Finding the Third Proportional to 4,954.50 and 10,830.38

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Solution

The third proportional to 4,954.50 and 10,830.38 is: 23,674.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.50 : 10,830.38 = 10,830.38 : x
  2. Step 2: Convert to fraction form
    4,954.50/10,830.38 = 10,830.38/x
  3. Step 3: Cross multiply
    4,954.50x = 10,830.38 × 10,830.38
  4. Step 4: Simplify right side
    4,954.50x = 117,297,022.64
  5. Step 5: Solve for x
    x = 117,297,022.64/4,954.50
  6. Step 6: Final answer
    x = 23,674.85

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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.