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Finding the Third Proportional to 440,839.97 and 659,551.36

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Solution

The third proportional to 440,839.97 and 659,551.36 is: 986,770.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,839.97 : 659,551.36 = 659,551.36 : x
  2. Step 2: Convert to fraction form
    440,839.97/659,551.36 = 659,551.36/x
  3. Step 3: Cross multiply
    440,839.97x = 659,551.36 × 659,551.36
  4. Step 4: Simplify right side
    440,839.97x = 435,007,995,653.41
  5. Step 5: Solve for x
    x = 435,007,995,653.41/440,839.97
  6. Step 6: Final answer
    x = 986,770.77

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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.