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Finding the Third Proportional to 51,056.25 and 71,412.75

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Solution

The third proportional to 51,056.25 and 71,412.75 is: 99,885.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,056.25 : 71,412.75 = 71,412.75 : x
  2. Step 2: Convert to fraction form
    51,056.25/71,412.75 = 71,412.75/x
  3. Step 3: Cross multiply
    51,056.25x = 71,412.75 × 71,412.75
  4. Step 4: Simplify right side
    51,056.25x = 5,099,780,862.56
  5. Step 5: Solve for x
    x = 5,099,780,862.56/51,056.25
  6. Step 6: Final answer
    x = 99,885.54

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.