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Finding the Third Proportional to 6,485 and 13,833.50

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Solution

The third proportional to 6,485 and 13,833.50 is: 29,508.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485 : 13,833.50 = 13,833.50 : x
  2. Step 2: Convert to fraction form
    6,485/13,833.50 = 13,833.50/x
  3. Step 3: Cross multiply
    6,485x = 13,833.50 × 13,833.50
  4. Step 4: Simplify right side
    6,485x = 191,365,722.25
  5. Step 5: Solve for x
    x = 191,365,722.25/6,485
  6. Step 6: Final answer
    x = 29,508.98

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