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Finding the Third Proportional to 117,874 and 242,660

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Solution

The third proportional to 117,874 and 242,660 is: 499,549.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,874 : 242,660 = 242,660 : x
  2. Step 2: Convert to fraction form
    117,874/242,660 = 242,660/x
  3. Step 3: Cross multiply
    117,874x = 242,660 × 242,660
  4. Step 4: Simplify right side
    117,874x = 58,883,875,600
  5. Step 5: Solve for x
    x = 58,883,875,600/117,874
  6. Step 6: Final answer
    x = 499,549.31

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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.