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Finding the Third Proportional to 39,939 and 56,898

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Solution

The third proportional to 39,939 and 56,898 is: 81,058.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,939 : 56,898 = 56,898 : x
  2. Step 2: Convert to fraction form
    39,939/56,898 = 56,898/x
  3. Step 3: Cross multiply
    39,939x = 56,898 × 56,898
  4. Step 4: Simplify right side
    39,939x = 3,237,382,404
  5. Step 5: Solve for x
    x = 3,237,382,404/39,939
  6. Step 6: Final answer
    x = 81,058.17

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.