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Finding the Third Proportional to 6,111.75 and 13,348.50

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Solution

The third proportional to 6,111.75 and 13,348.50 is: 29,154.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111.75 : 13,348.50 = 13,348.50 : x
  2. Step 2: Convert to fraction form
    6,111.75/13,348.50 = 13,348.50/x
  3. Step 3: Cross multiply
    6,111.75x = 13,348.50 × 13,348.50
  4. Step 4: Simplify right side
    6,111.75x = 178,182,452.25
  5. Step 5: Solve for x
    x = 178,182,452.25/6,111.75
  6. Step 6: Final answer
    x = 29,154.08

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.