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Finding the Third Proportional to 2,781 and 5,420.25

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Solution

The third proportional to 2,781 and 5,420.25 is: 10,564.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781 : 5,420.25 = 5,420.25 : x
  2. Step 2: Convert to fraction form
    2,781/5,420.25 = 5,420.25/x
  3. Step 3: Cross multiply
    2,781x = 5,420.25 × 5,420.25
  4. Step 4: Simplify right side
    2,781x = 29,379,110.06
  5. Step 5: Solve for x
    x = 29,379,110.06/2,781
  6. Step 6: Final answer
    x = 10,564.23

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.