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Finding the Third Proportional to 118,286 and 256,262

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Solution

The third proportional to 118,286 and 256,262 is: 555,181.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,286 : 256,262 = 256,262 : x
  2. Step 2: Convert to fraction form
    118,286/256,262 = 256,262/x
  3. Step 3: Cross multiply
    118,286x = 256,262 × 256,262
  4. Step 4: Simplify right side
    118,286x = 65,670,212,644
  5. Step 5: Solve for x
    x = 65,670,212,644/118,286
  6. Step 6: Final answer
    x = 555,181.62

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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.