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Finding the Third Proportional to 219,703 and 329,556

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Solution

The third proportional to 219,703 and 329,556 is: 494,336.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,703 : 329,556 = 329,556 : x
  2. Step 2: Convert to fraction form
    219,703/329,556 = 329,556/x
  3. Step 3: Cross multiply
    219,703x = 329,556 × 329,556
  4. Step 4: Simplify right side
    219,703x = 108,607,157,136
  5. Step 5: Solve for x
    x = 108,607,157,136/219,703
  6. Step 6: Final answer
    x = 494,336.25

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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.