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Finding the Third Proportional to 53,960 and 117,400

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Solution

The third proportional to 53,960 and 117,400 is: 255,425.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,960 : 117,400 = 117,400 : x
  2. Step 2: Convert to fraction form
    53,960/117,400 = 117,400/x
  3. Step 3: Cross multiply
    53,960x = 117,400 × 117,400
  4. Step 4: Simplify right side
    53,960x = 13,782,760,000
  5. Step 5: Solve for x
    x = 13,782,760,000/53,960
  6. Step 6: Final answer
    x = 255,425.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.