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Finding the Third Proportional to 3,072.94 and 3,971.53

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Solution

The third proportional to 3,072.94 and 3,971.53 is: 5,132.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.94 : 3,971.53 = 3,971.53 : x
  2. Step 2: Convert to fraction form
    3,072.94/3,971.53 = 3,971.53/x
  3. Step 3: Cross multiply
    3,072.94x = 3,971.53 × 3,971.53
  4. Step 4: Simplify right side
    3,072.94x = 15,773,060.47
  5. Step 5: Solve for x
    x = 15,773,060.47/3,072.94
  6. Step 6: Final answer
    x = 5,132.89

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These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.