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Finding the Third Proportional to 3,122.30 and 4,699.27

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Solution

The third proportional to 3,122.30 and 4,699.27 is: 7,072.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.30 : 4,699.27 = 4,699.27 : x
  2. Step 2: Convert to fraction form
    3,122.30/4,699.27 = 4,699.27/x
  3. Step 3: Cross multiply
    3,122.30x = 4,699.27 × 4,699.27
  4. Step 4: Simplify right side
    3,122.30x = 22,083,097.41
  5. Step 5: Solve for x
    x = 22,083,097.41/3,122.30
  6. Step 6: Final answer
    x = 7,072.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.