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Finding the Third Proportional to 214,614 and 319,383

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Solution

The third proportional to 214,614 and 319,383 is: 475,297.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,614 : 319,383 = 319,383 : x
  2. Step 2: Convert to fraction form
    214,614/319,383 = 319,383/x
  3. Step 3: Cross multiply
    214,614x = 319,383 × 319,383
  4. Step 4: Simplify right side
    214,614x = 102,005,500,689
  5. Step 5: Solve for x
    x = 102,005,500,689/214,614
  6. Step 6: Final answer
    x = 475,297.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.