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Finding the Third Proportional to 355,286 and 763,276

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Solution

The third proportional to 355,286 and 763,276 is: 1,639,778.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,286 : 763,276 = 763,276 : x
  2. Step 2: Convert to fraction form
    355,286/763,276 = 763,276/x
  3. Step 3: Cross multiply
    355,286x = 763,276 × 763,276
  4. Step 4: Simplify right side
    355,286x = 582,590,252,176
  5. Step 5: Solve for x
    x = 582,590,252,176/355,286
  6. Step 6: Final answer
    x = 1,639,778.24

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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.