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Finding the Third Proportional to 118,317 and 258,468

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Solution

The third proportional to 118,317 and 258,468 is: 564,633.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,317 : 258,468 = 258,468 : x
  2. Step 2: Convert to fraction form
    118,317/258,468 = 258,468/x
  3. Step 3: Cross multiply
    118,317x = 258,468 × 258,468
  4. Step 4: Simplify right side
    118,317x = 66,805,707,024
  5. Step 5: Solve for x
    x = 66,805,707,024/118,317
  6. Step 6: Final answer
    x = 564,633.21

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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.