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Finding the Third Proportional to 6,044.63 and 8,951.63

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Solution

The third proportional to 6,044.63 and 8,951.63 is: 13,256.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,044.63 : 8,951.63 = 8,951.63 : x
  2. Step 2: Convert to fraction form
    6,044.63/8,951.63 = 8,951.63/x
  3. Step 3: Cross multiply
    6,044.63x = 8,951.63 × 8,951.63
  4. Step 4: Simplify right side
    6,044.63x = 80,131,590.14
  5. Step 5: Solve for x
    x = 80,131,590.14/6,044.63
  6. Step 6: Final answer
    x = 13,256.67

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.