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Finding the Third Proportional to 117,566 and 253,718

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Solution

The third proportional to 117,566 and 253,718 is: 547,546.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,566 : 253,718 = 253,718 : x
  2. Step 2: Convert to fraction form
    117,566/253,718 = 253,718/x
  3. Step 3: Cross multiply
    117,566x = 253,718 × 253,718
  4. Step 4: Simplify right side
    117,566x = 64,372,823,524
  5. Step 5: Solve for x
    x = 64,372,823,524/117,566
  6. Step 6: Final answer
    x = 547,546.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.