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Finding the Third Proportional to 263,824 and 425,400

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Solution

The third proportional to 263,824 and 425,400 is: 685,931.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,824 : 425,400 = 425,400 : x
  2. Step 2: Convert to fraction form
    263,824/425,400 = 425,400/x
  3. Step 3: Cross multiply
    263,824x = 425,400 × 425,400
  4. Step 4: Simplify right side
    263,824x = 180,965,160,000
  5. Step 5: Solve for x
    x = 180,965,160,000/263,824
  6. Step 6: Final answer
    x = 685,931.38

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.