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Finding the Third Proportional to 42,888 and 94,956

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Solution

The third proportional to 42,888 and 94,956 is: 210,236.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,888 : 94,956 = 94,956 : x
  2. Step 2: Convert to fraction form
    42,888/94,956 = 94,956/x
  3. Step 3: Cross multiply
    42,888x = 94,956 × 94,956
  4. Step 4: Simplify right side
    42,888x = 9,016,641,936
  5. Step 5: Solve for x
    x = 9,016,641,936/42,888
  6. Step 6: Final answer
    x = 210,236.94

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.