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Finding the Third Proportional to 319,124 and 485,318

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Solution

The third proportional to 319,124 and 485,318 is: 738,062.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,124 : 485,318 = 485,318 : x
  2. Step 2: Convert to fraction form
    319,124/485,318 = 485,318/x
  3. Step 3: Cross multiply
    319,124x = 485,318 × 485,318
  4. Step 4: Simplify right side
    319,124x = 235,533,561,124
  5. Step 5: Solve for x
    x = 235,533,561,124/319,124
  6. Step 6: Final answer
    x = 738,062.83

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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.