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Finding the Third Proportional to 6,409.75 and 13,638.25

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Solution

The third proportional to 6,409.75 and 13,638.25 is: 29,018.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.75 : 13,638.25 = 13,638.25 : x
  2. Step 2: Convert to fraction form
    6,409.75/13,638.25 = 13,638.25/x
  3. Step 3: Cross multiply
    6,409.75x = 13,638.25 × 13,638.25
  4. Step 4: Simplify right side
    6,409.75x = 186,001,863.06
  5. Step 5: Solve for x
    x = 186,001,863.06/6,409.75
  6. Step 6: Final answer
    x = 29,018.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.