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Finding the Third Proportional to 117,539 and 253,780

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Solution

The third proportional to 117,539 and 253,780 is: 547,939.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,539 : 253,780 = 253,780 : x
  2. Step 2: Convert to fraction form
    117,539/253,780 = 253,780/x
  3. Step 3: Cross multiply
    117,539x = 253,780 × 253,780
  4. Step 4: Simplify right side
    117,539x = 64,404,288,400
  5. Step 5: Solve for x
    x = 64,404,288,400/117,539
  6. Step 6: Final answer
    x = 547,939.73

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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.