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Finding the Third Proportional to 380,290 and 814,567

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Solution

The third proportional to 380,290 and 814,567 is: 1,744,772.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,290 : 814,567 = 814,567 : x
  2. Step 2: Convert to fraction form
    380,290/814,567 = 814,567/x
  3. Step 3: Cross multiply
    380,290x = 814,567 × 814,567
  4. Step 4: Simplify right side
    380,290x = 663,519,397,489
  5. Step 5: Solve for x
    x = 663,519,397,489/380,290
  6. Step 6: Final answer
    x = 1,744,772.14

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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.