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Finding the Third Proportional to 118,211 and 256,517

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Solution

The third proportional to 118,211 and 256,517 is: 556,640.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,211 : 256,517 = 256,517 : x
  2. Step 2: Convert to fraction form
    118,211/256,517 = 256,517/x
  3. Step 3: Cross multiply
    118,211x = 256,517 × 256,517
  4. Step 4: Simplify right side
    118,211x = 65,800,971,289
  5. Step 5: Solve for x
    x = 65,800,971,289/118,211
  6. Step 6: Final answer
    x = 556,640.00

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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.