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Finding the Third Proportional to 642,334 and 1,383,325

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Solution

The third proportional to 642,334 and 1,383,325 is: 2,979,116.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,334 : 1,383,325 = 1,383,325 : x
  2. Step 2: Convert to fraction form
    642,334/1,383,325 = 1,383,325/x
  3. Step 3: Cross multiply
    642,334x = 1,383,325 × 1,383,325
  4. Step 4: Simplify right side
    642,334x = 1,913,588,055,625
  5. Step 5: Solve for x
    x = 1,913,588,055,625/642,334
  6. Step 6: Final answer
    x = 2,979,116.87

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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.