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Finding the Third Proportional to 319,084 and 691,000

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Solution

The third proportional to 319,084 and 691,000 is: 1,496,411.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,084 : 691,000 = 691,000 : x
  2. Step 2: Convert to fraction form
    319,084/691,000 = 691,000/x
  3. Step 3: Cross multiply
    319,084x = 691,000 × 691,000
  4. Step 4: Simplify right side
    319,084x = 477,481,000,000
  5. Step 5: Solve for x
    x = 477,481,000,000/319,084
  6. Step 6: Final answer
    x = 1,496,411.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.