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Finding the Third Proportional to 81,008 and 170,818

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Solution

The third proportional to 81,008 and 170,818 is: 360,196.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,008 : 170,818 = 170,818 : x
  2. Step 2: Convert to fraction form
    81,008/170,818 = 170,818/x
  3. Step 3: Cross multiply
    81,008x = 170,818 × 170,818
  4. Step 4: Simplify right side
    81,008x = 29,178,789,124
  5. Step 5: Solve for x
    x = 29,178,789,124/81,008
  6. Step 6: Final answer
    x = 360,196.39

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.