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Finding the Third Proportional to 447,146 and 664,644

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Solution

The third proportional to 447,146 and 664,644 is: 987,936.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,146 : 664,644 = 664,644 : x
  2. Step 2: Convert to fraction form
    447,146/664,644 = 664,644/x
  3. Step 3: Cross multiply
    447,146x = 664,644 × 664,644
  4. Step 4: Simplify right side
    447,146x = 441,751,646,736
  5. Step 5: Solve for x
    x = 441,751,646,736/447,146
  6. Step 6: Final answer
    x = 987,936.04

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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.