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Finding the Third Proportional to 447,154 and 664,653

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Solution

The third proportional to 447,154 and 664,653 is: 987,945.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,154 : 664,653 = 664,653 : x
  2. Step 2: Convert to fraction form
    447,154/664,653 = 664,653/x
  3. Step 3: Cross multiply
    447,154x = 664,653 × 664,653
  4. Step 4: Simplify right side
    447,154x = 441,763,610,409
  5. Step 5: Solve for x
    x = 441,763,610,409/447,154
  6. Step 6: Final answer
    x = 987,945.12

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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.