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Finding the Third Proportional to 1,999.50 and 4,533

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Solution

The third proportional to 1,999.50 and 4,533 is: 10,276.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.50 : 4,533 = 4,533 : x
  2. Step 2: Convert to fraction form
    1,999.50/4,533 = 4,533/x
  3. Step 3: Cross multiply
    1,999.50x = 4,533 × 4,533
  4. Step 4: Simplify right side
    1,999.50x = 20,548,089
  5. Step 5: Solve for x
    x = 20,548,089/1,999.50
  6. Step 6: Final answer
    x = 10,276.61

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.