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Finding the Third Proportional to 381,762 and 814,080

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Solution

The third proportional to 381,762 and 814,080 is: 1,735,967.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,762 : 814,080 = 814,080 : x
  2. Step 2: Convert to fraction form
    381,762/814,080 = 814,080/x
  3. Step 3: Cross multiply
    381,762x = 814,080 × 814,080
  4. Step 4: Simplify right side
    381,762x = 662,726,246,400
  5. Step 5: Solve for x
    x = 662,726,246,400/381,762
  6. Step 6: Final answer
    x = 1,735,967.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.