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Finding the Third Proportional to 8,449.95 and 12,644.54

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Solution

The third proportional to 8,449.95 and 12,644.54 is: 18,921.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.95 : 12,644.54 = 12,644.54 : x
  2. Step 2: Convert to fraction form
    8,449.95/12,644.54 = 12,644.54/x
  3. Step 3: Cross multiply
    8,449.95x = 12,644.54 × 12,644.54
  4. Step 4: Simplify right side
    8,449.95x = 159,884,466.89
  5. Step 5: Solve for x
    x = 159,884,466.89/8,449.95
  6. Step 6: Final answer
    x = 18,921.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.