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Finding the Third Proportional to 103,036 and 238,546

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Solution

The third proportional to 103,036 and 238,546 is: 552,274.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,036 : 238,546 = 238,546 : x
  2. Step 2: Convert to fraction form
    103,036/238,546 = 238,546/x
  3. Step 3: Cross multiply
    103,036x = 238,546 × 238,546
  4. Step 4: Simplify right side
    103,036x = 56,904,194,116
  5. Step 5: Solve for x
    x = 56,904,194,116/103,036
  6. Step 6: Final answer
    x = 552,274.88

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.