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Finding the Third Proportional to 296,435 and 443,838.50

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Solution

The third proportional to 296,435 and 443,838.50 is: 664,538.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,435 : 443,838.50 = 443,838.50 : x
  2. Step 2: Convert to fraction form
    296,435/443,838.50 = 443,838.50/x
  3. Step 3: Cross multiply
    296,435x = 443,838.50 × 443,838.50
  4. Step 4: Simplify right side
    296,435x = 196,992,614,082.25
  5. Step 5: Solve for x
    x = 196,992,614,082.25/296,435
  6. Step 6: Final answer
    x = 664,538.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.