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Finding the Third Proportional to 6,424.31 and 8,370.84

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Solution

The third proportional to 6,424.31 and 8,370.84 is: 10,907.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.31 : 8,370.84 = 8,370.84 : x
  2. Step 2: Convert to fraction form
    6,424.31/8,370.84 = 8,370.84/x
  3. Step 3: Cross multiply
    6,424.31x = 8,370.84 × 8,370.84
  4. Step 4: Simplify right side
    6,424.31x = 70,071,025.09
  5. Step 5: Solve for x
    x = 70,071,025.09/6,424.31
  6. Step 6: Final answer
    x = 10,907.16

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.