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Finding the Third Proportional to 555,187,836 and 862,432,422

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Solution

The third proportional to 555,187,836 and 862,432,422 is: 1,339,708,174.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,187,836 : 862,432,422 = 862,432,422 : x
  2. Step 2: Convert to fraction form
    555,187,836/862,432,422 = 862,432,422/x
  3. Step 3: Cross multiply
    555,187,836x = 862,432,422 × 862,432,422
  4. Step 4: Simplify right side
    555,187,836x = 743,789,682,516,786,048
  5. Step 5: Solve for x
    x = 743,789,682,516,786,048/555,187,836
  6. Step 6: Final answer
    x = 1,339,708,174.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.