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Finding the Third Proportional to 291,144 and 441,972

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Solution

The third proportional to 291,144 and 441,972 is: 670,936.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,144 : 441,972 = 441,972 : x
  2. Step 2: Convert to fraction form
    291,144/441,972 = 441,972/x
  3. Step 3: Cross multiply
    291,144x = 441,972 × 441,972
  4. Step 4: Simplify right side
    291,144x = 195,339,248,784
  5. Step 5: Solve for x
    x = 195,339,248,784/291,144
  6. Step 6: Final answer
    x = 670,936.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.