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Finding the Third Proportional to 629,115 and 1,368,820

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Solution

The third proportional to 629,115 and 1,368,820 is: 2,978,260.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,115 : 1,368,820 = 1,368,820 : x
  2. Step 2: Convert to fraction form
    629,115/1,368,820 = 1,368,820/x
  3. Step 3: Cross multiply
    629,115x = 1,368,820 × 1,368,820
  4. Step 4: Simplify right side
    629,115x = 1,873,668,192,400
  5. Step 5: Solve for x
    x = 1,873,668,192,400/629,115
  6. Step 6: Final answer
    x = 2,978,260.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.