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Finding the Third Proportional to 118,211 and 256,516

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Solution

The third proportional to 118,211 and 256,516 is: 556,635.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,211 : 256,516 = 256,516 : x
  2. Step 2: Convert to fraction form
    118,211/256,516 = 256,516/x
  3. Step 3: Cross multiply
    118,211x = 256,516 × 256,516
  4. Step 4: Simplify right side
    118,211x = 65,800,458,256
  5. Step 5: Solve for x
    x = 65,800,458,256/118,211
  6. Step 6: Final answer
    x = 556,635.66

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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.