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Finding the Third Proportional to 8,369.63 and 12,959.63

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Solution

The third proportional to 8,369.63 and 12,959.63 is: 20,066.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,369.63 : 12,959.63 = 12,959.63 : x
  2. Step 2: Convert to fraction form
    8,369.63/12,959.63 = 12,959.63/x
  3. Step 3: Cross multiply
    8,369.63x = 12,959.63 × 12,959.63
  4. Step 4: Simplify right side
    8,369.63x = 167,951,880.14
  5. Step 5: Solve for x
    x = 167,951,880.14/8,369.63
  6. Step 6: Final answer
    x = 20,066.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.