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Finding the Third Proportional to 6,307 and 13,440.50

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Solution

The third proportional to 6,307 and 13,440.50 is: 28,642.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307 : 13,440.50 = 13,440.50 : x
  2. Step 2: Convert to fraction form
    6,307/13,440.50 = 13,440.50/x
  3. Step 3: Cross multiply
    6,307x = 13,440.50 × 13,440.50
  4. Step 4: Simplify right side
    6,307x = 180,647,040.25
  5. Step 5: Solve for x
    x = 180,647,040.25/6,307
  6. Step 6: Final answer
    x = 28,642.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.