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Finding the Third Proportional to 203,609 and 443,358

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Solution

The third proportional to 203,609 and 443,358 is: 965,410.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,609 : 443,358 = 443,358 : x
  2. Step 2: Convert to fraction form
    203,609/443,358 = 443,358/x
  3. Step 3: Cross multiply
    203,609x = 443,358 × 443,358
  4. Step 4: Simplify right side
    203,609x = 196,566,316,164
  5. Step 5: Solve for x
    x = 196,566,316,164/203,609
  6. Step 6: Final answer
    x = 965,410.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.