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Finding the Third Proportional to 253,872 and 356,616

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Solution

The third proportional to 253,872 and 356,616 is: 500,941.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,872 : 356,616 = 356,616 : x
  2. Step 2: Convert to fraction form
    253,872/356,616 = 356,616/x
  3. Step 3: Cross multiply
    253,872x = 356,616 × 356,616
  4. Step 4: Simplify right side
    253,872x = 127,174,971,456
  5. Step 5: Solve for x
    x = 127,174,971,456/253,872
  6. Step 6: Final answer
    x = 500,941.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.