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Finding the Third Proportional to 380,328 and 814,632

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Solution

The third proportional to 380,328 and 814,632 is: 1,744,876.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,328 : 814,632 = 814,632 : x
  2. Step 2: Convert to fraction form
    380,328/814,632 = 814,632/x
  3. Step 3: Cross multiply
    380,328x = 814,632 × 814,632
  4. Step 4: Simplify right side
    380,328x = 663,625,295,424
  5. Step 5: Solve for x
    x = 663,625,295,424/380,328
  6. Step 6: Final answer
    x = 1,744,876.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.