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Finding the Third Proportional to 86,319 and 188,649

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Solution

The third proportional to 86,319 and 188,649 is: 412,289.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,319 : 188,649 = 188,649 : x
  2. Step 2: Convert to fraction form
    86,319/188,649 = 188,649/x
  3. Step 3: Cross multiply
    86,319x = 188,649 × 188,649
  4. Step 4: Simplify right side
    86,319x = 35,588,445,201
  5. Step 5: Solve for x
    x = 35,588,445,201/86,319
  6. Step 6: Final answer
    x = 412,289.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.