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Finding the Third Proportional to 690,912 and 1,494,996.75

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Solution

The third proportional to 690,912 and 1,494,996.75 is: 3,234,876.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,912 : 1,494,996.75 = 1,494,996.75 : x
  2. Step 2: Convert to fraction form
    690,912/1,494,996.75 = 1,494,996.75/x
  3. Step 3: Cross multiply
    690,912x = 1,494,996.75 × 1,494,996.75
  4. Step 4: Simplify right side
    690,912x = 2,235,015,282,510.56
  5. Step 5: Solve for x
    x = 2,235,015,282,510.56/690,912
  6. Step 6: Final answer
    x = 3,234,876.92

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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.