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Finding the Third Proportional to 85,878 and 183,166

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Solution

The third proportional to 85,878 and 183,166 is: 390,667.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,878 : 183,166 = 183,166 : x
  2. Step 2: Convert to fraction form
    85,878/183,166 = 183,166/x
  3. Step 3: Cross multiply
    85,878x = 183,166 × 183,166
  4. Step 4: Simplify right side
    85,878x = 33,549,783,556
  5. Step 5: Solve for x
    x = 33,549,783,556/85,878
  6. Step 6: Final answer
    x = 390,667.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.