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Finding the Third Proportional to 3,043.83 and 3,283.03

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Solution

The third proportional to 3,043.83 and 3,283.03 is: 3,541.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.83 : 3,283.03 = 3,283.03 : x
  2. Step 2: Convert to fraction form
    3,043.83/3,283.03 = 3,283.03/x
  3. Step 3: Cross multiply
    3,043.83x = 3,283.03 × 3,283.03
  4. Step 4: Simplify right side
    3,043.83x = 10,778,294.19
  5. Step 5: Solve for x
    x = 10,778,294.19/3,043.83
  6. Step 6: Final answer
    x = 3,541.03

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.