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Finding the Third Proportional to 291,936 and 443,387

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Solution

The third proportional to 291,936 and 443,387 is: 673,407.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,936 : 443,387 = 443,387 : x
  2. Step 2: Convert to fraction form
    291,936/443,387 = 443,387/x
  3. Step 3: Cross multiply
    291,936x = 443,387 × 443,387
  4. Step 4: Simplify right side
    291,936x = 196,592,031,769
  5. Step 5: Solve for x
    x = 196,592,031,769/291,936
  6. Step 6: Final answer
    x = 673,407.98

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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.