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Finding the Third Proportional to 291,252 and 441,388

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Solution

The third proportional to 291,252 and 441,388 is: 668,916.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,252 : 441,388 = 441,388 : x
  2. Step 2: Convert to fraction form
    291,252/441,388 = 441,388/x
  3. Step 3: Cross multiply
    291,252x = 441,388 × 441,388
  4. Step 4: Simplify right side
    291,252x = 194,823,366,544
  5. Step 5: Solve for x
    x = 194,823,366,544/291,252
  6. Step 6: Final answer
    x = 668,916.84

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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.