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Finding the Third Proportional to 382,896 and 817,920

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Solution

The third proportional to 382,896 and 817,920 is: 1,747,192.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,896 : 817,920 = 817,920 : x
  2. Step 2: Convert to fraction form
    382,896/817,920 = 817,920/x
  3. Step 3: Cross multiply
    382,896x = 817,920 × 817,920
  4. Step 4: Simplify right side
    382,896x = 668,993,126,400
  5. Step 5: Solve for x
    x = 668,993,126,400/382,896
  6. Step 6: Final answer
    x = 1,747,192.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.