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Finding the Third Proportional to 319,389 and 691,374

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Solution

The third proportional to 319,389 and 691,374 is: 1,496,601.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,389 : 691,374 = 691,374 : x
  2. Step 2: Convert to fraction form
    319,389/691,374 = 691,374/x
  3. Step 3: Cross multiply
    319,389x = 691,374 × 691,374
  4. Step 4: Simplify right side
    319,389x = 477,998,007,876
  5. Step 5: Solve for x
    x = 477,998,007,876/319,389
  6. Step 6: Final answer
    x = 1,496,601.35

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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.