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Finding the Third Proportional to 118,406 and 258,508

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Solution

The third proportional to 118,406 and 258,508 is: 564,383.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,406 : 258,508 = 258,508 : x
  2. Step 2: Convert to fraction form
    118,406/258,508 = 258,508/x
  3. Step 3: Cross multiply
    118,406x = 258,508 × 258,508
  4. Step 4: Simplify right side
    118,406x = 66,826,386,064
  5. Step 5: Solve for x
    x = 66,826,386,064/118,406
  6. Step 6: Final answer
    x = 564,383.44

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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.