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Finding the Third Proportional to 5,580.09 and 8,442.14

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Solution

The third proportional to 5,580.09 and 8,442.14 is: 12,772.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,580.09 : 8,442.14 = 8,442.14 : x
  2. Step 2: Convert to fraction form
    5,580.09/8,442.14 = 8,442.14/x
  3. Step 3: Cross multiply
    5,580.09x = 8,442.14 × 8,442.14
  4. Step 4: Simplify right side
    5,580.09x = 71,269,738.33
  5. Step 5: Solve for x
    x = 71,269,738.33/5,580.09
  6. Step 6: Final answer
    x = 12,772.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.