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Finding the Third Proportional to 1,889 and 2,873.50

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Solution

The third proportional to 1,889 and 2,873.50 is: 4,371.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889 : 2,873.50 = 2,873.50 : x
  2. Step 2: Convert to fraction form
    1,889/2,873.50 = 2,873.50/x
  3. Step 3: Cross multiply
    1,889x = 2,873.50 × 2,873.50
  4. Step 4: Simplify right side
    1,889x = 8,257,002.25
  5. Step 5: Solve for x
    x = 8,257,002.25/1,889
  6. Step 6: Final answer
    x = 4,371.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.