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Finding the Third Proportional to 54,130 and 84,142

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Solution

The third proportional to 54,130 and 84,142 is: 130,793.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,130 : 84,142 = 84,142 : x
  2. Step 2: Convert to fraction form
    54,130/84,142 = 84,142/x
  3. Step 3: Cross multiply
    54,130x = 84,142 × 84,142
  4. Step 4: Simplify right side
    54,130x = 7,079,876,164
  5. Step 5: Solve for x
    x = 7,079,876,164/54,130
  6. Step 6: Final answer
    x = 130,793.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.