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Finding the Third Proportional to 117,057 and 256,419

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Solution

The third proportional to 117,057 and 256,419 is: 561,698.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,057 : 256,419 = 256,419 : x
  2. Step 2: Convert to fraction form
    117,057/256,419 = 256,419/x
  3. Step 3: Cross multiply
    117,057x = 256,419 × 256,419
  4. Step 4: Simplify right side
    117,057x = 65,750,703,561
  5. Step 5: Solve for x
    x = 65,750,703,561/117,057
  6. Step 6: Final answer
    x = 561,698.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.