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Finding the Third Proportional to 42,928.50 and 94,058

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Solution

The third proportional to 42,928.50 and 94,058 is: 206,084.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,928.50 : 94,058 = 94,058 : x
  2. Step 2: Convert to fraction form
    42,928.50/94,058 = 94,058/x
  3. Step 3: Cross multiply
    42,928.50x = 94,058 × 94,058
  4. Step 4: Simplify right side
    42,928.50x = 8,846,907,364
  5. Step 5: Solve for x
    x = 8,846,907,364/42,928.50
  6. Step 6: Final answer
    x = 206,084.71

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.