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Finding the Third Proportional to 100,630 and 215,350

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Solution

The third proportional to 100,630 and 215,350 is: 460,852.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,630 : 215,350 = 215,350 : x
  2. Step 2: Convert to fraction form
    100,630/215,350 = 215,350/x
  3. Step 3: Cross multiply
    100,630x = 215,350 × 215,350
  4. Step 4: Simplify right side
    100,630x = 46,375,622,500
  5. Step 5: Solve for x
    x = 46,375,622,500/100,630
  6. Step 6: Final answer
    x = 460,852.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.