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Finding the Third Proportional to 838 and 1,259.75

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Solution

The third proportional to 838 and 1,259.75 is: 1,893.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    838 : 1,259.75 = 1,259.75 : x
  2. Step 2: Convert to fraction form
    838/1,259.75 = 1,259.75/x
  3. Step 3: Cross multiply
    838x = 1,259.75 × 1,259.75
  4. Step 4: Simplify right side
    838x = 1,586,970.06
  5. Step 5: Solve for x
    x = 1,586,970.06/838
  6. Step 6: Final answer
    x = 1,893.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.