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Finding the Third Proportional to 380,288.25 and 814,563

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Solution

The third proportional to 380,288.25 and 814,563 is: 1,744,763.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,288.25 : 814,563 = 814,563 : x
  2. Step 2: Convert to fraction form
    380,288.25/814,563 = 814,563/x
  3. Step 3: Cross multiply
    380,288.25x = 814,563 × 814,563
  4. Step 4: Simplify right side
    380,288.25x = 663,512,880,969
  5. Step 5: Solve for x
    x = 663,512,880,969/380,288.25
  6. Step 6: Final answer
    x = 1,744,763.03

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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.