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Finding the Third Proportional to 23,878 and 52,940

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Solution

The third proportional to 23,878 and 52,940 is: 117,373.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,878 : 52,940 = 52,940 : x
  2. Step 2: Convert to fraction form
    23,878/52,940 = 52,940/x
  3. Step 3: Cross multiply
    23,878x = 52,940 × 52,940
  4. Step 4: Simplify right side
    23,878x = 2,802,643,600
  5. Step 5: Solve for x
    x = 2,802,643,600/23,878
  6. Step 6: Final answer
    x = 117,373.47

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.