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Finding the Third Proportional to 783.42 and 845.44

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Solution

The third proportional to 783.42 and 845.44 is: 912.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.42 : 845.44 = 845.44 : x
  2. Step 2: Convert to fraction form
    783.42/845.44 = 845.44/x
  3. Step 3: Cross multiply
    783.42x = 845.44 × 845.44
  4. Step 4: Simplify right side
    783.42x = 714,764.57
  5. Step 5: Solve for x
    x = 714,764.57/783.42
  6. Step 6: Final answer
    x = 912.36

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.