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Finding the Third Proportional to 382,270 and 534,669

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Solution

The third proportional to 382,270 and 534,669 is: 747,824.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,270 : 534,669 = 534,669 : x
  2. Step 2: Convert to fraction form
    382,270/534,669 = 534,669/x
  3. Step 3: Cross multiply
    382,270x = 534,669 × 534,669
  4. Step 4: Simplify right side
    382,270x = 285,870,939,561
  5. Step 5: Solve for x
    x = 285,870,939,561/382,270
  6. Step 6: Final answer
    x = 747,824.68

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.