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Finding the Third Proportional to 6,444.56 and 13,856.06

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Solution

The third proportional to 6,444.56 and 13,856.06 is: 29,791.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.56 : 13,856.06 = 13,856.06 : x
  2. Step 2: Convert to fraction form
    6,444.56/13,856.06 = 13,856.06/x
  3. Step 3: Cross multiply
    6,444.56x = 13,856.06 × 13,856.06
  4. Step 4: Simplify right side
    6,444.56x = 191,990,468.00
  5. Step 5: Solve for x
    x = 191,990,468.00/6,444.56
  6. Step 6: Final answer
    x = 29,791.08

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.