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Finding the Third Proportional to 873.94 and 1,912.69

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Solution

The third proportional to 873.94 and 1,912.69 is: 4,186.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.94 : 1,912.69 = 1,912.69 : x
  2. Step 2: Convert to fraction form
    873.94/1,912.69 = 1,912.69/x
  3. Step 3: Cross multiply
    873.94x = 1,912.69 × 1,912.69
  4. Step 4: Simplify right side
    873.94x = 3,658,373.47
  5. Step 5: Solve for x
    x = 3,658,373.47/873.94
  6. Step 6: Final answer
    x = 4,186.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.