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Finding the Third Proportional to 14,140 and 21,939

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Solution

The third proportional to 14,140 and 21,939 is: 34,039.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,140 : 21,939 = 21,939 : x
  2. Step 2: Convert to fraction form
    14,140/21,939 = 21,939/x
  3. Step 3: Cross multiply
    14,140x = 21,939 × 21,939
  4. Step 4: Simplify right side
    14,140x = 481,319,721
  5. Step 5: Solve for x
    x = 481,319,721/14,140
  6. Step 6: Final answer
    x = 34,039.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.