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Finding the Third Proportional to 331,511 and 706,276

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Solution

The third proportional to 331,511 and 706,276 is: 1,504,703.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,511 : 706,276 = 706,276 : x
  2. Step 2: Convert to fraction form
    331,511/706,276 = 706,276/x
  3. Step 3: Cross multiply
    331,511x = 706,276 × 706,276
  4. Step 4: Simplify right side
    331,511x = 498,825,788,176
  5. Step 5: Solve for x
    x = 498,825,788,176/331,511
  6. Step 6: Final answer
    x = 1,504,703.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.