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Finding the Third Proportional to 257,654 and 356,020

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Solution

The third proportional to 257,654 and 356,020 is: 491,939.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,654 : 356,020 = 356,020 : x
  2. Step 2: Convert to fraction form
    257,654/356,020 = 356,020/x
  3. Step 3: Cross multiply
    257,654x = 356,020 × 356,020
  4. Step 4: Simplify right side
    257,654x = 126,750,240,400
  5. Step 5: Solve for x
    x = 126,750,240,400/257,654
  6. Step 6: Final answer
    x = 491,939.73

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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.