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Finding the Third Proportional to 31,456 and 39,888

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Solution

The third proportional to 31,456 and 39,888 is: 50,580.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,456 : 39,888 = 39,888 : x
  2. Step 2: Convert to fraction form
    31,456/39,888 = 39,888/x
  3. Step 3: Cross multiply
    31,456x = 39,888 × 39,888
  4. Step 4: Simplify right side
    31,456x = 1,591,052,544
  5. Step 5: Solve for x
    x = 1,591,052,544/31,456
  6. Step 6: Final answer
    x = 50,580.26

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.