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Finding the Third Proportional to 355,254 and 763,212

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Solution

The third proportional to 355,254 and 763,212 is: 1,639,650.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,254 : 763,212 = 763,212 : x
  2. Step 2: Convert to fraction form
    355,254/763,212 = 763,212/x
  3. Step 3: Cross multiply
    355,254x = 763,212 × 763,212
  4. Step 4: Simplify right side
    355,254x = 582,492,556,944
  5. Step 5: Solve for x
    x = 582,492,556,944/355,254
  6. Step 6: Final answer
    x = 1,639,650.95

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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.