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Finding the Third Proportional to 2,102.63 and 4,222.13

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Solution

The third proportional to 2,102.63 and 4,222.13 is: 8,478.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.63 : 4,222.13 = 4,222.13 : x
  2. Step 2: Convert to fraction form
    2,102.63/4,222.13 = 4,222.13/x
  3. Step 3: Cross multiply
    2,102.63x = 4,222.13 × 4,222.13
  4. Step 4: Simplify right side
    2,102.63x = 17,826,339.52
  5. Step 5: Solve for x
    x = 17,826,339.52/2,102.63
  6. Step 6: Final answer
    x = 8,478.14

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.