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Finding the Third Proportional to 408,532 and 873,144

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Solution

The third proportional to 408,532 and 873,144 is: 1,866,146.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,532 : 873,144 = 873,144 : x
  2. Step 2: Convert to fraction form
    408,532/873,144 = 873,144/x
  3. Step 3: Cross multiply
    408,532x = 873,144 × 873,144
  4. Step 4: Simplify right side
    408,532x = 762,380,444,736
  5. Step 5: Solve for x
    x = 762,380,444,736/408,532
  6. Step 6: Final answer
    x = 1,866,146.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.