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Finding the Third Proportional to 36,308 and 78,647

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Solution

The third proportional to 36,308 and 78,647 is: 170,357.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,308 : 78,647 = 78,647 : x
  2. Step 2: Convert to fraction form
    36,308/78,647 = 78,647/x
  3. Step 3: Cross multiply
    36,308x = 78,647 × 78,647
  4. Step 4: Simplify right side
    36,308x = 6,185,350,609
  5. Step 5: Solve for x
    x = 6,185,350,609/36,308
  6. Step 6: Final answer
    x = 170,357.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.