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Finding the Third Proportional to 853.76 and 1,200.55

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Solution

The third proportional to 853.76 and 1,200.55 is: 1,688.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.76 : 1,200.55 = 1,200.55 : x
  2. Step 2: Convert to fraction form
    853.76/1,200.55 = 1,200.55/x
  3. Step 3: Cross multiply
    853.76x = 1,200.55 × 1,200.55
  4. Step 4: Simplify right side
    853.76x = 1,441,330.09
  5. Step 5: Solve for x
    x = 1,441,330.09/853.76
  6. Step 6: Final answer
    x = 1,688.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.