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Finding the Third Proportional to 380,856 and 591,621

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Solution

The third proportional to 380,856 and 591,621 is: 919,022.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,856 : 591,621 = 591,621 : x
  2. Step 2: Convert to fraction form
    380,856/591,621 = 591,621/x
  3. Step 3: Cross multiply
    380,856x = 591,621 × 591,621
  4. Step 4: Simplify right side
    380,856x = 350,015,407,641
  5. Step 5: Solve for x
    x = 350,015,407,641/380,856
  6. Step 6: Final answer
    x = 919,022.96

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Why These Related Problems?

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