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Finding the Third Proportional to 3,442.78 and 7,089.33

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Solution

The third proportional to 3,442.78 and 7,089.33 is: 14,598.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.78 : 7,089.33 = 7,089.33 : x
  2. Step 2: Convert to fraction form
    3,442.78/7,089.33 = 7,089.33/x
  3. Step 3: Cross multiply
    3,442.78x = 7,089.33 × 7,089.33
  4. Step 4: Simplify right side
    3,442.78x = 50,258,573.26
  5. Step 5: Solve for x
    x = 50,258,573.26/3,442.78
  6. Step 6: Final answer
    x = 14,598.25

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.