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Finding the Third Proportional to 319,923 and 691,065

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Solution

The third proportional to 319,923 and 691,065 is: 1,492,768.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,923 : 691,065 = 691,065 : x
  2. Step 2: Convert to fraction form
    319,923/691,065 = 691,065/x
  3. Step 3: Cross multiply
    319,923x = 691,065 × 691,065
  4. Step 4: Simplify right side
    319,923x = 477,570,834,225
  5. Step 5: Solve for x
    x = 477,570,834,225/319,923
  6. Step 6: Final answer
    x = 1,492,768.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.