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Finding the Third Proportional to 118,326 and 258,486

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Solution

The third proportional to 118,326 and 258,486 is: 564,668.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,326 : 258,486 = 258,486 : x
  2. Step 2: Convert to fraction form
    118,326/258,486 = 258,486/x
  3. Step 3: Cross multiply
    118,326x = 258,486 × 258,486
  4. Step 4: Simplify right side
    118,326x = 66,815,012,196
  5. Step 5: Solve for x
    x = 66,815,012,196/118,326
  6. Step 6: Final answer
    x = 564,668.90

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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.