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Finding the Third Proportional to 319,797 and 687,996

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Solution

The third proportional to 319,797 and 687,996 is: 1,480,121.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,797 : 687,996 = 687,996 : x
  2. Step 2: Convert to fraction form
    319,797/687,996 = 687,996/x
  3. Step 3: Cross multiply
    319,797x = 687,996 × 687,996
  4. Step 4: Simplify right side
    319,797x = 473,338,496,016
  5. Step 5: Solve for x
    x = 473,338,496,016/319,797
  6. Step 6: Final answer
    x = 1,480,121.75

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.