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Finding the Third Proportional to 409,633 and 626,923

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Solution

The third proportional to 409,633 and 626,923 is: 959,474.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,633 : 626,923 = 626,923 : x
  2. Step 2: Convert to fraction form
    409,633/626,923 = 626,923/x
  3. Step 3: Cross multiply
    409,633x = 626,923 × 626,923
  4. Step 4: Simplify right side
    409,633x = 393,032,447,929
  5. Step 5: Solve for x
    x = 393,032,447,929/409,633
  6. Step 6: Final answer
    x = 959,474.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.