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Finding the Third Proportional to 36,729 and 79,290

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Solution

The third proportional to 36,729 and 79,290 is: 171,170.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,729 : 79,290 = 79,290 : x
  2. Step 2: Convert to fraction form
    36,729/79,290 = 79,290/x
  3. Step 3: Cross multiply
    36,729x = 79,290 × 79,290
  4. Step 4: Simplify right side
    36,729x = 6,286,904,100
  5. Step 5: Solve for x
    x = 6,286,904,100/36,729
  6. Step 6: Final answer
    x = 171,170.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.