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Finding the Third Proportional to 299,188 and 645,938

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Solution

The third proportional to 299,188 and 645,938 is: 1,394,560.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,188 : 645,938 = 645,938 : x
  2. Step 2: Convert to fraction form
    299,188/645,938 = 645,938/x
  3. Step 3: Cross multiply
    299,188x = 645,938 × 645,938
  4. Step 4: Simplify right side
    299,188x = 417,235,899,844
  5. Step 5: Solve for x
    x = 417,235,899,844/299,188
  6. Step 6: Final answer
    x = 1,394,560.94

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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.