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Finding the Third Proportional to 118,540 and 258,383

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Solution

The third proportional to 118,540 and 258,383 is: 563,200.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,540 : 258,383 = 258,383 : x
  2. Step 2: Convert to fraction form
    118,540/258,383 = 258,383/x
  3. Step 3: Cross multiply
    118,540x = 258,383 × 258,383
  4. Step 4: Simplify right side
    118,540x = 66,761,774,689
  5. Step 5: Solve for x
    x = 66,761,774,689/118,540
  6. Step 6: Final answer
    x = 563,200.39

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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.