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Finding the Third Proportional to 257,656 and 356,024

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Solution

The third proportional to 257,656 and 356,024 is: 491,946.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,656 : 356,024 = 356,024 : x
  2. Step 2: Convert to fraction form
    257,656/356,024 = 356,024/x
  3. Step 3: Cross multiply
    257,656x = 356,024 × 356,024
  4. Step 4: Simplify right side
    257,656x = 126,753,088,576
  5. Step 5: Solve for x
    x = 126,753,088,576/257,656
  6. Step 6: Final answer
    x = 491,946.97

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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.