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Finding the Third Proportional to 291,238 and 441,367

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Solution

The third proportional to 291,238 and 441,367 is: 668,885.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,238 : 441,367 = 441,367 : x
  2. Step 2: Convert to fraction form
    291,238/441,367 = 441,367/x
  3. Step 3: Cross multiply
    291,238x = 441,367 × 441,367
  4. Step 4: Simplify right side
    291,238x = 194,804,828,689
  5. Step 5: Solve for x
    x = 194,804,828,689/291,238
  6. Step 6: Final answer
    x = 668,885.34

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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.