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Finding the Third Proportional to 447,164 and 664,670

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Solution

The third proportional to 447,164 and 664,670 is: 987,973.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,164 : 664,670 = 664,670 : x
  2. Step 2: Convert to fraction form
    447,164/664,670 = 664,670/x
  3. Step 3: Cross multiply
    447,164x = 664,670 × 664,670
  4. Step 4: Simplify right side
    447,164x = 441,786,208,900
  5. Step 5: Solve for x
    x = 441,786,208,900/447,164
  6. Step 6: Final answer
    x = 987,973.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.