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Finding the Third Proportional to 349,740 and 443,609

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Solution

The third proportional to 349,740 and 443,609 is: 562,672.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,740 : 443,609 = 443,609 : x
  2. Step 2: Convert to fraction form
    349,740/443,609 = 443,609/x
  3. Step 3: Cross multiply
    349,740x = 443,609 × 443,609
  4. Step 4: Simplify right side
    349,740x = 196,788,944,881
  5. Step 5: Solve for x
    x = 196,788,944,881/349,740
  6. Step 6: Final answer
    x = 562,672.11

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.