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Finding the Third Proportional to 401,784 and 550,920

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Solution

The third proportional to 401,784 and 550,920 is: 755,412.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,784 : 550,920 = 550,920 : x
  2. Step 2: Convert to fraction form
    401,784/550,920 = 550,920/x
  3. Step 3: Cross multiply
    401,784x = 550,920 × 550,920
  4. Step 4: Simplify right side
    401,784x = 303,512,846,400
  5. Step 5: Solve for x
    x = 303,512,846,400/401,784
  6. Step 6: Final answer
    x = 755,412.97

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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.