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Finding the Third Proportional to 319,090 and 691,012

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Solution

The third proportional to 319,090 and 691,012 is: 1,496,435.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,090 : 691,012 = 691,012 : x
  2. Step 2: Convert to fraction form
    319,090/691,012 = 691,012/x
  3. Step 3: Cross multiply
    319,090x = 691,012 × 691,012
  4. Step 4: Simplify right side
    319,090x = 477,497,584,144
  5. Step 5: Solve for x
    x = 477,497,584,144/319,090
  6. Step 6: Final answer
    x = 1,496,435.44

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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.