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Finding the Third Proportional to 319,188 and 485,412

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Solution

The third proportional to 319,188 and 485,412 is: 738,200.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,188 : 485,412 = 485,412 : x
  2. Step 2: Convert to fraction form
    319,188/485,412 = 485,412/x
  3. Step 3: Cross multiply
    319,188x = 485,412 × 485,412
  4. Step 4: Simplify right side
    319,188x = 235,624,809,744
  5. Step 5: Solve for x
    x = 235,624,809,744/319,188
  6. Step 6: Final answer
    x = 738,200.71

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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.