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Finding the Third Proportional to 118,542 and 258,387

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Solution

The third proportional to 118,542 and 258,387 is: 563,208.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,542 : 258,387 = 258,387 : x
  2. Step 2: Convert to fraction form
    118,542/258,387 = 258,387/x
  3. Step 3: Cross multiply
    118,542x = 258,387 × 258,387
  4. Step 4: Simplify right side
    118,542x = 66,763,841,769
  5. Step 5: Solve for x
    x = 66,763,841,769/118,542
  6. Step 6: Final answer
    x = 563,208.33

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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.