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Finding the Third Proportional to 214,011 and 320,348.25

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Solution

The third proportional to 214,011 and 320,348.25 is: 479,522.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,011 : 320,348.25 = 320,348.25 : x
  2. Step 2: Convert to fraction form
    214,011/320,348.25 = 320,348.25/x
  3. Step 3: Cross multiply
    214,011x = 320,348.25 × 320,348.25
  4. Step 4: Simplify right side
    214,011x = 102,623,001,278.06
  5. Step 5: Solve for x
    x = 102,623,001,278.06/214,011
  6. Step 6: Final answer
    x = 479,522.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.