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Finding the Third Proportional to 53,729 and 126,383

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Solution

The third proportional to 53,729 and 126,383 is: 297,281.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,729 : 126,383 = 126,383 : x
  2. Step 2: Convert to fraction form
    53,729/126,383 = 126,383/x
  3. Step 3: Cross multiply
    53,729x = 126,383 × 126,383
  4. Step 4: Simplify right side
    53,729x = 15,972,662,689
  5. Step 5: Solve for x
    x = 15,972,662,689/53,729
  6. Step 6: Final answer
    x = 297,281.96

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.