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Finding the Third Proportional to 1,999.69 and 4,930.88

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Solution

The third proportional to 1,999.69 and 4,930.88 is: 12,158.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.69 : 4,930.88 = 4,930.88 : x
  2. Step 2: Convert to fraction form
    1,999.69/4,930.88 = 4,930.88/x
  3. Step 3: Cross multiply
    1,999.69x = 4,930.88 × 4,930.88
  4. Step 4: Simplify right side
    1,999.69x = 24,313,528.27
  5. Step 5: Solve for x
    x = 24,313,528.27/1,999.69
  6. Step 6: Final answer
    x = 12,158.66

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.