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Finding the Third Proportional to 117,868 and 242,540

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Solution

The third proportional to 117,868 and 242,540 is: 499,080.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,868 : 242,540 = 242,540 : x
  2. Step 2: Convert to fraction form
    117,868/242,540 = 242,540/x
  3. Step 3: Cross multiply
    117,868x = 242,540 × 242,540
  4. Step 4: Simplify right side
    117,868x = 58,825,651,600
  5. Step 5: Solve for x
    x = 58,825,651,600/117,868
  6. Step 6: Final answer
    x = 499,080.76

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.