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Finding the Third Proportional to 3,496.50 and 4,890.94

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Solution

The third proportional to 3,496.50 and 4,890.94 is: 6,841.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.50 : 4,890.94 = 4,890.94 : x
  2. Step 2: Convert to fraction form
    3,496.50/4,890.94 = 4,890.94/x
  3. Step 3: Cross multiply
    3,496.50x = 4,890.94 × 4,890.94
  4. Step 4: Simplify right side
    3,496.50x = 23,921,269.63
  5. Step 5: Solve for x
    x = 23,921,269.63/3,496.50
  6. Step 6: Final answer
    x = 6,841.49

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.