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Finding the Third Proportional to 257,654 and 356,021

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Solution

The third proportional to 257,654 and 356,021 is: 491,942.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,654 : 356,021 = 356,021 : x
  2. Step 2: Convert to fraction form
    257,654/356,021 = 356,021/x
  3. Step 3: Cross multiply
    257,654x = 356,021 × 356,021
  4. Step 4: Simplify right side
    257,654x = 126,750,952,441
  5. Step 5: Solve for x
    x = 126,750,952,441/257,654
  6. Step 6: Final answer
    x = 491,942.50

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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.