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Finding the Third Proportional to 117,357 and 253,419

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Solution

The third proportional to 117,357 and 253,419 is: 547,229.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,357 : 253,419 = 253,419 : x
  2. Step 2: Convert to fraction form
    117,357/253,419 = 253,419/x
  3. Step 3: Cross multiply
    117,357x = 253,419 × 253,419
  4. Step 4: Simplify right side
    117,357x = 64,221,189,561
  5. Step 5: Solve for x
    x = 64,221,189,561/117,357
  6. Step 6: Final answer
    x = 547,229.31

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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.