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Finding the Third Proportional to 84,158 and 126,455

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Solution

The third proportional to 84,158 and 126,455 is: 190,010.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,158 : 126,455 = 126,455 : x
  2. Step 2: Convert to fraction form
    84,158/126,455 = 126,455/x
  3. Step 3: Cross multiply
    84,158x = 126,455 × 126,455
  4. Step 4: Simplify right side
    84,158x = 15,990,867,025
  5. Step 5: Solve for x
    x = 15,990,867,025/84,158
  6. Step 6: Final answer
    x = 190,010.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.