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Finding the Third Proportional to 118,827 and 258,147

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Solution

The third proportional to 118,827 and 258,147 is: 560,814.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,827 : 258,147 = 258,147 : x
  2. Step 2: Convert to fraction form
    118,827/258,147 = 258,147/x
  3. Step 3: Cross multiply
    118,827x = 258,147 × 258,147
  4. Step 4: Simplify right side
    118,827x = 66,639,873,609
  5. Step 5: Solve for x
    x = 66,639,873,609/118,827
  6. Step 6: Final answer
    x = 560,814.24

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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.