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Finding the Third Proportional to 118,654 and 257,827

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Solution

The third proportional to 118,654 and 257,827 is: 560,240.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,654 : 257,827 = 257,827 : x
  2. Step 2: Convert to fraction form
    118,654/257,827 = 257,827/x
  3. Step 3: Cross multiply
    118,654x = 257,827 × 257,827
  4. Step 4: Simplify right side
    118,654x = 66,474,761,929
  5. Step 5: Solve for x
    x = 66,474,761,929/118,654
  6. Step 6: Final answer
    x = 560,240.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.