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Finding the Third Proportional to 407,836 and 889,400

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Solution

The third proportional to 407,836 and 889,400 is: 1,939,584.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,836 : 889,400 = 889,400 : x
  2. Step 2: Convert to fraction form
    407,836/889,400 = 889,400/x
  3. Step 3: Cross multiply
    407,836x = 889,400 × 889,400
  4. Step 4: Simplify right side
    407,836x = 791,032,360,000
  5. Step 5: Solve for x
    x = 791,032,360,000/407,836
  6. Step 6: Final answer
    x = 1,939,584.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.