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Finding the Third Proportional to 1,827.50 and 4,338.75

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Solution

The third proportional to 1,827.50 and 4,338.75 is: 10,300.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.50 : 4,338.75 = 4,338.75 : x
  2. Step 2: Convert to fraction form
    1,827.50/4,338.75 = 4,338.75/x
  3. Step 3: Cross multiply
    1,827.50x = 4,338.75 × 4,338.75
  4. Step 4: Simplify right side
    1,827.50x = 18,824,751.56
  5. Step 5: Solve for x
    x = 18,824,751.56/1,827.50
  6. Step 6: Final answer
    x = 10,300.82

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.