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Finding the Third Proportional to 118,380 and 254,328

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Solution

The third proportional to 118,380 and 254,328 is: 546,399.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,380 : 254,328 = 254,328 : x
  2. Step 2: Convert to fraction form
    118,380/254,328 = 254,328/x
  3. Step 3: Cross multiply
    118,380x = 254,328 × 254,328
  4. Step 4: Simplify right side
    118,380x = 64,682,731,584
  5. Step 5: Solve for x
    x = 64,682,731,584/118,380
  6. Step 6: Final answer
    x = 546,399.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.