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Finding the Third Proportional to 226,527,451,612 and 490,759,085,100

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Solution

The third proportional to 226,527,451,612 and 490,759,085,100 is: 1,063,202,176,576.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,527,451,612 : 490,759,085,100 = 490,759,085,100 : x
  2. Step 2: Convert to fraction form
    226,527,451,612/490,759,085,100 = 490,759,085,100/x
  3. Step 3: Cross multiply
    226,527,451,612x = 490,759,085,100 × 490,759,085,100
  4. Step 4: Simplify right side
    226,527,451,612x = 240,844,479,608,189,026,828,288
  5. Step 5: Solve for x
    x = 240,844,479,608,189,026,828,288/226,527,451,612
  6. Step 6: Final answer
    x = 1,063,202,176,576.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.