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Finding the Third Proportional to 312,975 and 491,493

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Solution

The third proportional to 312,975 and 491,493 is: 771,835.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,975 : 491,493 = 491,493 : x
  2. Step 2: Convert to fraction form
    312,975/491,493 = 491,493/x
  3. Step 3: Cross multiply
    312,975x = 491,493 × 491,493
  4. Step 4: Simplify right side
    312,975x = 241,565,369,049
  5. Step 5: Solve for x
    x = 241,565,369,049/312,975
  6. Step 6: Final answer
    x = 771,835.99

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.