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Finding the Third Proportional to 440,832 and 659,540

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Solution

The third proportional to 440,832 and 659,540 is: 986,754.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,832 : 659,540 = 659,540 : x
  2. Step 2: Convert to fraction form
    440,832/659,540 = 659,540/x
  3. Step 3: Cross multiply
    440,832x = 659,540 × 659,540
  4. Step 4: Simplify right side
    440,832x = 434,993,011,600
  5. Step 5: Solve for x
    x = 434,993,011,600/440,832
  6. Step 6: Final answer
    x = 986,754.62

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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.