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Finding the Third Proportional to 118,296 and 258,444

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Solution

The third proportional to 118,296 and 258,444 is: 564,628.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,296 : 258,444 = 258,444 : x
  2. Step 2: Convert to fraction form
    118,296/258,444 = 258,444/x
  3. Step 3: Cross multiply
    118,296x = 258,444 × 258,444
  4. Step 4: Simplify right side
    118,296x = 66,793,301,136
  5. Step 5: Solve for x
    x = 66,793,301,136/118,296
  6. Step 6: Final answer
    x = 564,628.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.