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Finding the Third Proportional to 376,816 and 819,080

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Solution

The third proportional to 376,816 and 819,080 is: 1,780,423.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,816 : 819,080 = 819,080 : x
  2. Step 2: Convert to fraction form
    376,816/819,080 = 819,080/x
  3. Step 3: Cross multiply
    376,816x = 819,080 × 819,080
  4. Step 4: Simplify right side
    376,816x = 670,892,046,400
  5. Step 5: Solve for x
    x = 670,892,046,400/376,816
  6. Step 6: Final answer
    x = 1,780,423.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.