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Finding the Third Proportional to 642,114 and 1,383,567

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Solution

The third proportional to 642,114 and 1,383,567 is: 2,981,180.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,114 : 1,383,567 = 1,383,567 : x
  2. Step 2: Convert to fraction form
    642,114/1,383,567 = 1,383,567/x
  3. Step 3: Cross multiply
    642,114x = 1,383,567 × 1,383,567
  4. Step 4: Simplify right side
    642,114x = 1,914,257,643,489
  5. Step 5: Solve for x
    x = 1,914,257,643,489/642,114
  6. Step 6: Final answer
    x = 2,981,180.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.