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Finding the Third Proportional to 214,620.75 and 423,837

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Solution

The third proportional to 214,620.75 and 423,837 is: 837,001.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,620.75 : 423,837 = 423,837 : x
  2. Step 2: Convert to fraction form
    214,620.75/423,837 = 423,837/x
  3. Step 3: Cross multiply
    214,620.75x = 423,837 × 423,837
  4. Step 4: Simplify right side
    214,620.75x = 179,637,802,569
  5. Step 5: Solve for x
    x = 179,637,802,569/214,620.75
  6. Step 6: Final answer
    x = 837,001.09

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.