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Finding the Third Proportional to 27,890 and 39,010

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Solution

The third proportional to 27,890 and 39,010 is: 54,563.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,890 : 39,010 = 39,010 : x
  2. Step 2: Convert to fraction form
    27,890/39,010 = 39,010/x
  3. Step 3: Cross multiply
    27,890x = 39,010 × 39,010
  4. Step 4: Simplify right side
    27,890x = 1,521,780,100
  5. Step 5: Solve for x
    x = 1,521,780,100/27,890
  6. Step 6: Final answer
    x = 54,563.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.