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Finding the Third Proportional to 257,652 and 356,018

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Solution

The third proportional to 257,652 and 356,018 is: 491,938.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,652 : 356,018 = 356,018 : x
  2. Step 2: Convert to fraction form
    257,652/356,018 = 356,018/x
  3. Step 3: Cross multiply
    257,652x = 356,018 × 356,018
  4. Step 4: Simplify right side
    257,652x = 126,748,816,324
  5. Step 5: Solve for x
    x = 126,748,816,324/257,652
  6. Step 6: Final answer
    x = 491,938.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.