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Finding the Third Proportional to 118,660 and 257,864

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Solution

The third proportional to 118,660 and 257,864 is: 560,372.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,660 : 257,864 = 257,864 : x
  2. Step 2: Convert to fraction form
    118,660/257,864 = 257,864/x
  3. Step 3: Cross multiply
    118,660x = 257,864 × 257,864
  4. Step 4: Simplify right side
    118,660x = 66,493,842,496
  5. Step 5: Solve for x
    x = 66,493,842,496/118,660
  6. Step 6: Final answer
    x = 560,372.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.