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Finding the Third Proportional to 118,310 and 256,292

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Solution

The third proportional to 118,310 and 256,292 is: 555,198.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,310 : 256,292 = 256,292 : x
  2. Step 2: Convert to fraction form
    118,310/256,292 = 256,292/x
  3. Step 3: Cross multiply
    118,310x = 256,292 × 256,292
  4. Step 4: Simplify right side
    118,310x = 65,685,589,264
  5. Step 5: Solve for x
    x = 65,685,589,264/118,310
  6. Step 6: Final answer
    x = 555,198.96

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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.