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Finding the Third Proportional to 102,512 and 220,352

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Solution

The third proportional to 102,512 and 220,352 is: 473,651.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,512 : 220,352 = 220,352 : x
  2. Step 2: Convert to fraction form
    102,512/220,352 = 220,352/x
  3. Step 3: Cross multiply
    102,512x = 220,352 × 220,352
  4. Step 4: Simplify right side
    102,512x = 48,555,003,904
  5. Step 5: Solve for x
    x = 48,555,003,904/102,512
  6. Step 6: Final answer
    x = 473,651.90

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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.