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Finding the Third Proportional to 541,638 and 838,223

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Solution

The third proportional to 541,638 and 838,223 is: 1,297,209.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,638 : 838,223 = 838,223 : x
  2. Step 2: Convert to fraction form
    541,638/838,223 = 838,223/x
  3. Step 3: Cross multiply
    541,638x = 838,223 × 838,223
  4. Step 4: Simplify right side
    541,638x = 702,617,797,729
  5. Step 5: Solve for x
    x = 702,617,797,729/541,638
  6. Step 6: Final answer
    x = 1,297,209.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.