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Finding the Third Proportional to 401,790 and 550,929

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Solution

The third proportional to 401,790 and 550,929 is: 755,426.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,790 : 550,929 = 550,929 : x
  2. Step 2: Convert to fraction form
    401,790/550,929 = 550,929/x
  3. Step 3: Cross multiply
    401,790x = 550,929 × 550,929
  4. Step 4: Simplify right side
    401,790x = 303,522,763,041
  5. Step 5: Solve for x
    x = 303,522,763,041/401,790
  6. Step 6: Final answer
    x = 755,426.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.