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Finding the Third Proportional to 209,170 and 320,034

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Solution

The third proportional to 209,170 and 320,034 is: 489,657.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,170 : 320,034 = 320,034 : x
  2. Step 2: Convert to fraction form
    209,170/320,034 = 320,034/x
  3. Step 3: Cross multiply
    209,170x = 320,034 × 320,034
  4. Step 4: Simplify right side
    209,170x = 102,421,761,156
  5. Step 5: Solve for x
    x = 102,421,761,156/209,170
  6. Step 6: Final answer
    x = 489,657.99

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.