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Finding the Third Proportional to 57,072 and 122,928

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Solution

The third proportional to 57,072 and 122,928 is: 264,775.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,072 : 122,928 = 122,928 : x
  2. Step 2: Convert to fraction form
    57,072/122,928 = 122,928/x
  3. Step 3: Cross multiply
    57,072x = 122,928 × 122,928
  4. Step 4: Simplify right side
    57,072x = 15,111,293,184
  5. Step 5: Solve for x
    x = 15,111,293,184/57,072
  6. Step 6: Final answer
    x = 264,775.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.