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Finding the Third Proportional to 68,284 and 103,380

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Solution

The third proportional to 68,284 and 103,380 is: 156,514.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,284 : 103,380 = 103,380 : x
  2. Step 2: Convert to fraction form
    68,284/103,380 = 103,380/x
  3. Step 3: Cross multiply
    68,284x = 103,380 × 103,380
  4. Step 4: Simplify right side
    68,284x = 10,687,424,400
  5. Step 5: Solve for x
    x = 10,687,424,400/68,284
  6. Step 6: Final answer
    x = 156,514.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.