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Finding the Third Proportional to 27,121 and 57,158

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Solution

The third proportional to 27,121 and 57,158 is: 120,461.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,121 : 57,158 = 57,158 : x
  2. Step 2: Convert to fraction form
    27,121/57,158 = 57,158/x
  3. Step 3: Cross multiply
    27,121x = 57,158 × 57,158
  4. Step 4: Simplify right side
    27,121x = 3,267,036,964
  5. Step 5: Solve for x
    x = 3,267,036,964/27,121
  6. Step 6: Final answer
    x = 120,461.52

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.