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Finding the Third Proportional to 84,546 and 126,555

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Solution

The third proportional to 84,546 and 126,555 is: 189,437.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,546 : 126,555 = 126,555 : x
  2. Step 2: Convert to fraction form
    84,546/126,555 = 126,555/x
  3. Step 3: Cross multiply
    84,546x = 126,555 × 126,555
  4. Step 4: Simplify right side
    84,546x = 16,016,168,025
  5. Step 5: Solve for x
    x = 16,016,168,025/84,546
  6. Step 6: Final answer
    x = 189,437.32

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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.