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Finding the Third Proportional to 354,927 and 550,620

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Solution

The third proportional to 354,927 and 550,620 is: 854,210.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,927 : 550,620 = 550,620 : x
  2. Step 2: Convert to fraction form
    354,927/550,620 = 550,620/x
  3. Step 3: Cross multiply
    354,927x = 550,620 × 550,620
  4. Step 4: Simplify right side
    354,927x = 303,182,384,400
  5. Step 5: Solve for x
    x = 303,182,384,400/354,927
  6. Step 6: Final answer
    x = 854,210.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.