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Finding the Third Proportional to 629,438 and 1,347,223

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Solution

The third proportional to 629,438 and 1,347,223 is: 2,883,540.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,438 : 1,347,223 = 1,347,223 : x
  2. Step 2: Convert to fraction form
    629,438/1,347,223 = 1,347,223/x
  3. Step 3: Cross multiply
    629,438x = 1,347,223 × 1,347,223
  4. Step 4: Simplify right side
    629,438x = 1,815,009,811,729
  5. Step 5: Solve for x
    x = 1,815,009,811,729/629,438
  6. Step 6: Final answer
    x = 2,883,540.26

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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.