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Finding the Third Proportional to 399,504 and 538,257

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Solution

The third proportional to 399,504 and 538,257 is: 725,200.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,504 : 538,257 = 538,257 : x
  2. Step 2: Convert to fraction form
    399,504/538,257 = 538,257/x
  3. Step 3: Cross multiply
    399,504x = 538,257 × 538,257
  4. Step 4: Simplify right side
    399,504x = 289,720,598,049
  5. Step 5: Solve for x
    x = 289,720,598,049/399,504
  6. Step 6: Final answer
    x = 725,200.74

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.