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Finding the Third Proportional to 5,586.50 and 13,774.25

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Solution

The third proportional to 5,586.50 and 13,774.25 is: 33,962.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586.50 : 13,774.25 = 13,774.25 : x
  2. Step 2: Convert to fraction form
    5,586.50/13,774.25 = 13,774.25/x
  3. Step 3: Cross multiply
    5,586.50x = 13,774.25 × 13,774.25
  4. Step 4: Simplify right side
    5,586.50x = 189,729,963.06
  5. Step 5: Solve for x
    x = 189,729,963.06/5,586.50
  6. Step 6: Final answer
    x = 33,962.22

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.