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Finding the Third Proportional to 238,414 and 515,546

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Solution

The third proportional to 238,414 and 515,546 is: 1,114,815.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,414 : 515,546 = 515,546 : x
  2. Step 2: Convert to fraction form
    238,414/515,546 = 515,546/x
  3. Step 3: Cross multiply
    238,414x = 515,546 × 515,546
  4. Step 4: Simplify right side
    238,414x = 265,787,678,116
  5. Step 5: Solve for x
    x = 265,787,678,116/238,414
  6. Step 6: Final answer
    x = 1,114,815.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.