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Finding the Third Proportional to 423,192 and 648,204

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Solution

The third proportional to 423,192 and 648,204 is: 992,855.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,192 : 648,204 = 648,204 : x
  2. Step 2: Convert to fraction form
    423,192/648,204 = 648,204/x
  3. Step 3: Cross multiply
    423,192x = 648,204 × 648,204
  4. Step 4: Simplify right side
    423,192x = 420,168,425,616
  5. Step 5: Solve for x
    x = 420,168,425,616/423,192
  6. Step 6: Final answer
    x = 992,855.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.