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Finding the Third Proportional to 319,412,619,882 and 496,165,404,307.50

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Solution

The third proportional to 319,412,619,882 and 496,165,404,307.50 is: 770,727,557,735.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,412,619,882 : 496,165,404,307.50 = 496,165,404,307.50 : x
  2. Step 2: Convert to fraction form
    319,412,619,882/496,165,404,307.50 = 496,165,404,307.50/x
  3. Step 3: Cross multiply
    319,412,619,882x = 496,165,404,307.50 × 496,165,404,307.50
  4. Step 4: Simplify right side
    319,412,619,882x = 246,180,108,431,624,956,280,832
  5. Step 5: Solve for x
    x = 246,180,108,431,624,956,280,832/319,412,619,882
  6. Step 6: Final answer
    x = 770,727,557,735.73

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.