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Finding the Third Proportional to 361,872 and 771,836

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Solution

The third proportional to 361,872 and 771,836 is: 1,646,247.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,872 : 771,836 = 771,836 : x
  2. Step 2: Convert to fraction form
    361,872/771,836 = 771,836/x
  3. Step 3: Cross multiply
    361,872x = 771,836 × 771,836
  4. Step 4: Simplify right side
    361,872x = 595,730,810,896
  5. Step 5: Solve for x
    x = 595,730,810,896/361,872
  6. Step 6: Final answer
    x = 1,646,247.32

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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.