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Finding the Third Proportional to 86,464 and 177,196

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Solution

The third proportional to 86,464 and 177,196 is: 363,138.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,464 : 177,196 = 177,196 : x
  2. Step 2: Convert to fraction form
    86,464/177,196 = 177,196/x
  3. Step 3: Cross multiply
    86,464x = 177,196 × 177,196
  4. Step 4: Simplify right side
    86,464x = 31,398,422,416
  5. Step 5: Solve for x
    x = 31,398,422,416/86,464
  6. Step 6: Final answer
    x = 363,138.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.