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Finding the Third Proportional to 442,860 and 664,174

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Solution

The third proportional to 442,860 and 664,174 is: 996,087.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,860 : 664,174 = 664,174 : x
  2. Step 2: Convert to fraction form
    442,860/664,174 = 664,174/x
  3. Step 3: Cross multiply
    442,860x = 664,174 × 664,174
  4. Step 4: Simplify right side
    442,860x = 441,127,102,276
  5. Step 5: Solve for x
    x = 441,127,102,276/442,860
  6. Step 6: Final answer
    x = 996,087.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.