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Finding the Third Proportional to 3,916.50 and 6,402.75

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Solution

The third proportional to 3,916.50 and 6,402.75 is: 10,467.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.50 : 6,402.75 = 6,402.75 : x
  2. Step 2: Convert to fraction form
    3,916.50/6,402.75 = 6,402.75/x
  3. Step 3: Cross multiply
    3,916.50x = 6,402.75 × 6,402.75
  4. Step 4: Simplify right side
    3,916.50x = 40,995,207.56
  5. Step 5: Solve for x
    x = 40,995,207.56/3,916.50
  6. Step 6: Final answer
    x = 10,467.31

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.