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Finding the Third Proportional to 118,838 and 258,168

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Solution

The third proportional to 118,838 and 258,168 is: 560,853.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,838 : 258,168 = 258,168 : x
  2. Step 2: Convert to fraction form
    118,838/258,168 = 258,168/x
  3. Step 3: Cross multiply
    118,838x = 258,168 × 258,168
  4. Step 4: Simplify right side
    118,838x = 66,650,716,224
  5. Step 5: Solve for x
    x = 66,650,716,224/118,838
  6. Step 6: Final answer
    x = 560,853.57

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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.