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Finding the Third Proportional to 5,290.95 and 7,778.37

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Solution

The third proportional to 5,290.95 and 7,778.37 is: 11,435.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290.95 : 7,778.37 = 7,778.37 : x
  2. Step 2: Convert to fraction form
    5,290.95/7,778.37 = 7,778.37/x
  3. Step 3: Cross multiply
    5,290.95x = 7,778.37 × 7,778.37
  4. Step 4: Simplify right side
    5,290.95x = 60,503,087.26
  5. Step 5: Solve for x
    x = 60,503,087.26/5,290.95
  6. Step 6: Final answer
    x = 11,435.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.