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Finding the Third Proportional to 383,772 and 814,312

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Solution

The third proportional to 383,772 and 814,312 is: 1,727,859.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,772 : 814,312 = 814,312 : x
  2. Step 2: Convert to fraction form
    383,772/814,312 = 814,312/x
  3. Step 3: Cross multiply
    383,772x = 814,312 × 814,312
  4. Step 4: Simplify right side
    383,772x = 663,104,033,344
  5. Step 5: Solve for x
    x = 663,104,033,344/383,772
  6. Step 6: Final answer
    x = 1,727,859.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.