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Finding the Third Proportional to 406,329 and 619,809

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Solution

The third proportional to 406,329 and 619,809 is: 945,448.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,329 : 619,809 = 619,809 : x
  2. Step 2: Convert to fraction form
    406,329/619,809 = 619,809/x
  3. Step 3: Cross multiply
    406,329x = 619,809 × 619,809
  4. Step 4: Simplify right side
    406,329x = 384,163,196,481
  5. Step 5: Solve for x
    x = 384,163,196,481/406,329
  6. Step 6: Final answer
    x = 945,448.63

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Why These Related Problems?

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