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Finding the Third Proportional to 102,512 and 216,162

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Solution

The third proportional to 102,512 and 216,162 is: 455,810.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,512 : 216,162 = 216,162 : x
  2. Step 2: Convert to fraction form
    102,512/216,162 = 216,162/x
  3. Step 3: Cross multiply
    102,512x = 216,162 × 216,162
  4. Step 4: Simplify right side
    102,512x = 46,726,010,244
  5. Step 5: Solve for x
    x = 46,726,010,244/102,512
  6. Step 6: Final answer
    x = 455,810.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.