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Finding the Third Proportional to 76,817 and 164,290

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Solution

The third proportional to 76,817 and 164,290 is: 351,370.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,817 : 164,290 = 164,290 : x
  2. Step 2: Convert to fraction form
    76,817/164,290 = 164,290/x
  3. Step 3: Cross multiply
    76,817x = 164,290 × 164,290
  4. Step 4: Simplify right side
    76,817x = 26,991,204,100
  5. Step 5: Solve for x
    x = 26,991,204,100/76,817
  6. Step 6: Final answer
    x = 351,370.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.