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Finding the Third Proportional to 118,832 and 258,156

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Solution

The third proportional to 118,832 and 258,156 is: 560,829.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,832 : 258,156 = 258,156 : x
  2. Step 2: Convert to fraction form
    118,832/258,156 = 258,156/x
  3. Step 3: Cross multiply
    118,832x = 258,156 × 258,156
  4. Step 4: Simplify right side
    118,832x = 66,644,520,336
  5. Step 5: Solve for x
    x = 66,644,520,336/118,832
  6. Step 6: Final answer
    x = 560,829.75

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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.