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Finding the Third Proportional to 319,170 and 485,388

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Solution

The third proportional to 319,170 and 485,388 is: 738,169.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,170 : 485,388 = 485,388 : x
  2. Step 2: Convert to fraction form
    319,170/485,388 = 485,388/x
  3. Step 3: Cross multiply
    319,170x = 485,388 × 485,388
  4. Step 4: Simplify right side
    319,170x = 235,601,510,544
  5. Step 5: Solve for x
    x = 235,601,510,544/319,170
  6. Step 6: Final answer
    x = 738,169.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.