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Finding the Third Proportional to 63,818 and 140,500

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Solution

The third proportional to 63,818 and 140,500 is: 309,321.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,818 : 140,500 = 140,500 : x
  2. Step 2: Convert to fraction form
    63,818/140,500 = 140,500/x
  3. Step 3: Cross multiply
    63,818x = 140,500 × 140,500
  4. Step 4: Simplify right side
    63,818x = 19,740,250,000
  5. Step 5: Solve for x
    x = 19,740,250,000/63,818
  6. Step 6: Final answer
    x = 309,321.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.