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Finding the Third Proportional to 440,909 and 659,648

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Solution

The third proportional to 440,909 and 659,648 is: 986,905.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,909 : 659,648 = 659,648 : x
  2. Step 2: Convert to fraction form
    440,909/659,648 = 659,648/x
  3. Step 3: Cross multiply
    440,909x = 659,648 × 659,648
  4. Step 4: Simplify right side
    440,909x = 435,135,483,904
  5. Step 5: Solve for x
    x = 435,135,483,904/440,909
  6. Step 6: Final answer
    x = 986,905.42

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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.