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Finding the Third Proportional to 117,806 and 245,546

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Solution

The third proportional to 117,806 and 245,546 is: 511,797.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,806 : 245,546 = 245,546 : x
  2. Step 2: Convert to fraction form
    117,806/245,546 = 245,546/x
  3. Step 3: Cross multiply
    117,806x = 245,546 × 245,546
  4. Step 4: Simplify right side
    117,806x = 60,292,838,116
  5. Step 5: Solve for x
    x = 60,292,838,116/117,806
  6. Step 6: Final answer
    x = 511,797.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.