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Finding the Third Proportional to 438,104 and 659,100

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Solution

The third proportional to 438,104 and 659,100 is: 991,574.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,104 : 659,100 = 659,100 : x
  2. Step 2: Convert to fraction form
    438,104/659,100 = 659,100/x
  3. Step 3: Cross multiply
    438,104x = 659,100 × 659,100
  4. Step 4: Simplify right side
    438,104x = 434,412,810,000
  5. Step 5: Solve for x
    x = 434,412,810,000/438,104
  6. Step 6: Final answer
    x = 991,574.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.