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Finding the Third Proportional to 117,639 and 254,654

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Solution

The third proportional to 117,639 and 254,654 is: 551,251.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,639 : 254,654 = 254,654 : x
  2. Step 2: Convert to fraction form
    117,639/254,654 = 254,654/x
  3. Step 3: Cross multiply
    117,639x = 254,654 × 254,654
  4. Step 4: Simplify right side
    117,639x = 64,848,659,716
  5. Step 5: Solve for x
    x = 64,848,659,716/117,639
  6. Step 6: Final answer
    x = 551,251.37

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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.