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Finding the Third Proportional to 690,909.75 and 1,494,991.69

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Solution

The third proportional to 690,909.75 and 1,494,991.69 is: 3,234,865.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,909.75 : 1,494,991.69 = 1,494,991.69 : x
  2. Step 2: Convert to fraction form
    690,909.75/1,494,991.69 = 1,494,991.69/x
  3. Step 3: Cross multiply
    690,909.75x = 1,494,991.69 × 1,494,991.69
  4. Step 4: Simplify right side
    690,909.75x = 2,235,000,145,694.10
  5. Step 5: Solve for x
    x = 2,235,000,145,694.10/690,909.75
  6. Step 6: Final answer
    x = 3,234,865.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.