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Finding the Third Proportional to 27,900 and 57,731

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Solution

The third proportional to 27,900 and 57,731 is: 119,457.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,900 : 57,731 = 57,731 : x
  2. Step 2: Convert to fraction form
    27,900/57,731 = 57,731/x
  3. Step 3: Cross multiply
    27,900x = 57,731 × 57,731
  4. Step 4: Simplify right side
    27,900x = 3,332,868,361
  5. Step 5: Solve for x
    x = 3,332,868,361/27,900
  6. Step 6: Final answer
    x = 119,457.65

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.