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Finding the Third Proportional to 118,634 and 257,515

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Solution

The third proportional to 118,634 and 257,515 is: 558,979.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,634 : 257,515 = 257,515 : x
  2. Step 2: Convert to fraction form
    118,634/257,515 = 257,515/x
  3. Step 3: Cross multiply
    118,634x = 257,515 × 257,515
  4. Step 4: Simplify right side
    118,634x = 66,313,975,225
  5. Step 5: Solve for x
    x = 66,313,975,225/118,634
  6. Step 6: Final answer
    x = 558,979.51

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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.