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Finding the Third Proportional to 253,357 and 356,342

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Solution

The third proportional to 253,357 and 356,342 is: 501,188.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,357 : 356,342 = 356,342 : x
  2. Step 2: Convert to fraction form
    253,357/356,342 = 356,342/x
  3. Step 3: Cross multiply
    253,357x = 356,342 × 356,342
  4. Step 4: Simplify right side
    253,357x = 126,979,620,964
  5. Step 5: Solve for x
    x = 126,979,620,964/253,357
  6. Step 6: Final answer
    x = 501,188.52

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.