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Finding the Third Proportional to 82,178 and 170,673

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Solution

The third proportional to 82,178 and 170,673 is: 354,465.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,178 : 170,673 = 170,673 : x
  2. Step 2: Convert to fraction form
    82,178/170,673 = 170,673/x
  3. Step 3: Cross multiply
    82,178x = 170,673 × 170,673
  4. Step 4: Simplify right side
    82,178x = 29,129,272,929
  5. Step 5: Solve for x
    x = 29,129,272,929/82,178
  6. Step 6: Final answer
    x = 354,465.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.