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Finding the Third Proportional to 853.77 and 1,283.45

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Solution

The third proportional to 853.77 and 1,283.45 is: 1,929.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.77 : 1,283.45 = 1,283.45 : x
  2. Step 2: Convert to fraction form
    853.77/1,283.45 = 1,283.45/x
  3. Step 3: Cross multiply
    853.77x = 1,283.45 × 1,283.45
  4. Step 4: Simplify right side
    853.77x = 1,647,241.90
  5. Step 5: Solve for x
    x = 1,647,241.90/853.77
  6. Step 6: Final answer
    x = 1,929.38

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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.