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Finding the Third Proportional to 39,858 and 55,859

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Solution

The third proportional to 39,858 and 55,859 is: 78,283.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,858 : 55,859 = 55,859 : x
  2. Step 2: Convert to fraction form
    39,858/55,859 = 55,859/x
  3. Step 3: Cross multiply
    39,858x = 55,859 × 55,859
  4. Step 4: Simplify right side
    39,858x = 3,120,227,881
  5. Step 5: Solve for x
    x = 3,120,227,881/39,858
  6. Step 6: Final answer
    x = 78,283.60

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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.