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Finding the Third Proportional to 56,828 and 84,142

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Solution

The third proportional to 56,828 and 84,142 is: 124,584.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,828 : 84,142 = 84,142 : x
  2. Step 2: Convert to fraction form
    56,828/84,142 = 84,142/x
  3. Step 3: Cross multiply
    56,828x = 84,142 × 84,142
  4. Step 4: Simplify right side
    56,828x = 7,079,876,164
  5. Step 5: Solve for x
    x = 7,079,876,164/56,828
  6. Step 6: Final answer
    x = 124,584.29

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.