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Finding the Third Proportional to 54,726 and 128,847

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Solution

The third proportional to 54,726 and 128,847 is: 303,357.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,726 : 128,847 = 128,847 : x
  2. Step 2: Convert to fraction form
    54,726/128,847 = 128,847/x
  3. Step 3: Cross multiply
    54,726x = 128,847 × 128,847
  4. Step 4: Simplify right side
    54,726x = 16,601,549,409
  5. Step 5: Solve for x
    x = 16,601,549,409/54,726
  6. Step 6: Final answer
    x = 303,357.63

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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.