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Finding the Third Proportional to 291,992 and 383,412

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Solution

The third proportional to 291,992 and 383,412 is: 503,454.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,992 : 383,412 = 383,412 : x
  2. Step 2: Convert to fraction form
    291,992/383,412 = 383,412/x
  3. Step 3: Cross multiply
    291,992x = 383,412 × 383,412
  4. Step 4: Simplify right side
    291,992x = 147,004,761,744
  5. Step 5: Solve for x
    x = 147,004,761,744/291,992
  6. Step 6: Final answer
    x = 503,454.76

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.