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Finding the Third Proportional to 403,040.81 and 629,076.38

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Solution

The third proportional to 403,040.81 and 629,076.38 is: 981,878.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,040.81 : 629,076.38 = 629,076.38 : x
  2. Step 2: Convert to fraction form
    403,040.81/629,076.38 = 629,076.38/x
  3. Step 3: Cross multiply
    403,040.81x = 629,076.38 × 629,076.38
  4. Step 4: Simplify right side
    403,040.81x = 395,737,085,583.14
  5. Step 5: Solve for x
    x = 395,737,085,583.14/403,040.81
  6. Step 6: Final answer
    x = 981,878.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.