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Finding the Third Proportional to 76,555 and 168,986

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Solution

The third proportional to 76,555 and 168,986 is: 373,016.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,555 : 168,986 = 168,986 : x
  2. Step 2: Convert to fraction form
    76,555/168,986 = 168,986/x
  3. Step 3: Cross multiply
    76,555x = 168,986 × 168,986
  4. Step 4: Simplify right side
    76,555x = 28,556,268,196
  5. Step 5: Solve for x
    x = 28,556,268,196/76,555
  6. Step 6: Final answer
    x = 373,016.37

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.