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Finding the Third Proportional to 4,576.50 and 10,869.19

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Solution

The third proportional to 4,576.50 and 10,869.19 is: 25,814.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.50 : 10,869.19 = 10,869.19 : x
  2. Step 2: Convert to fraction form
    4,576.50/10,869.19 = 10,869.19/x
  3. Step 3: Cross multiply
    4,576.50x = 10,869.19 × 10,869.19
  4. Step 4: Simplify right side
    4,576.50x = 118,139,236.91
  5. Step 5: Solve for x
    x = 118,139,236.91/4,576.50
  6. Step 6: Final answer
    x = 25,814.32

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.