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Finding the Third Proportional to 873.19 and 1,900.31

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Solution

The third proportional to 873.19 and 1,900.31 is: 4,135.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.19 : 1,900.31 = 1,900.31 : x
  2. Step 2: Convert to fraction form
    873.19/1,900.31 = 1,900.31/x
  3. Step 3: Cross multiply
    873.19x = 1,900.31 × 1,900.31
  4. Step 4: Simplify right side
    873.19x = 3,611,187.60
  5. Step 5: Solve for x
    x = 3,611,187.60/873.19
  6. Step 6: Final answer
    x = 4,135.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.