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Finding the Third Proportional to 289,242 and 443,703

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Solution

The third proportional to 289,242 and 443,703 is: 680,649.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,242 : 443,703 = 443,703 : x
  2. Step 2: Convert to fraction form
    289,242/443,703 = 443,703/x
  3. Step 3: Cross multiply
    289,242x = 443,703 × 443,703
  4. Step 4: Simplify right side
    289,242x = 196,872,352,209
  5. Step 5: Solve for x
    x = 196,872,352,209/289,242
  6. Step 6: Final answer
    x = 680,649.26

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.