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Finding the Third Proportional to 4,372.50 and 6,820.31

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Solution

The third proportional to 4,372.50 and 6,820.31 is: 10,638.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,372.50 : 6,820.31 = 6,820.31 : x
  2. Step 2: Convert to fraction form
    4,372.50/6,820.31 = 6,820.31/x
  3. Step 3: Cross multiply
    4,372.50x = 6,820.31 × 6,820.31
  4. Step 4: Simplify right side
    4,372.50x = 46,516,662.60
  5. Step 5: Solve for x
    x = 46,516,662.60/4,372.50
  6. Step 6: Final answer
    x = 10,638.46

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.