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Finding the Third Proportional to 380,330 and 814,636

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Solution

The third proportional to 380,330 and 814,636 is: 1,744,884.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,330 : 814,636 = 814,636 : x
  2. Step 2: Convert to fraction form
    380,330/814,636 = 814,636/x
  3. Step 3: Cross multiply
    380,330x = 814,636 × 814,636
  4. Step 4: Simplify right side
    380,330x = 663,631,812,496
  5. Step 5: Solve for x
    x = 663,631,812,496/380,330
  6. Step 6: Final answer
    x = 1,744,884.21

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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.