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Finding the Third Proportional to 13,861.13 and 31,569.75

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Solution

The third proportional to 13,861.13 and 31,569.75 is: 71,902.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,861.13 : 31,569.75 = 31,569.75 : x
  2. Step 2: Convert to fraction form
    13,861.13/31,569.75 = 31,569.75/x
  3. Step 3: Cross multiply
    13,861.13x = 31,569.75 × 31,569.75
  4. Step 4: Simplify right side
    13,861.13x = 996,649,115.06
  5. Step 5: Solve for x
    x = 996,649,115.06/13,861.13
  6. Step 6: Final answer
    x = 71,902.47

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These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.