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Finding the Third Proportional to 53,560 and 115,400

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Solution

The third proportional to 53,560 and 115,400 is: 248,640.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,560 : 115,400 = 115,400 : x
  2. Step 2: Convert to fraction form
    53,560/115,400 = 115,400/x
  3. Step 3: Cross multiply
    53,560x = 115,400 × 115,400
  4. Step 4: Simplify right side
    53,560x = 13,317,160,000
  5. Step 5: Solve for x
    x = 13,317,160,000/53,560
  6. Step 6: Final answer
    x = 248,640.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.