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Finding the Third Proportional to 214,907 and 331,382

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Solution

The third proportional to 214,907 and 331,382 is: 510,983.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,907 : 331,382 = 331,382 : x
  2. Step 2: Convert to fraction form
    214,907/331,382 = 331,382/x
  3. Step 3: Cross multiply
    214,907x = 331,382 × 331,382
  4. Step 4: Simplify right side
    214,907x = 109,814,029,924
  5. Step 5: Solve for x
    x = 109,814,029,924/214,907
  6. Step 6: Final answer
    x = 510,983.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.