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Finding the Third Proportional to 68,800 and 140,516

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Solution

The third proportional to 68,800 and 140,516 is: 286,987.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,800 : 140,516 = 140,516 : x
  2. Step 2: Convert to fraction form
    68,800/140,516 = 140,516/x
  3. Step 3: Cross multiply
    68,800x = 140,516 × 140,516
  4. Step 4: Simplify right side
    68,800x = 19,744,746,256
  5. Step 5: Solve for x
    x = 19,744,746,256/68,800
  6. Step 6: Final answer
    x = 286,987.59

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.