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Finding the Third Proportional to 258,066 and 379,509

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Solution

The third proportional to 258,066 and 379,509 is: 558,101.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,066 : 379,509 = 379,509 : x
  2. Step 2: Convert to fraction form
    258,066/379,509 = 379,509/x
  3. Step 3: Cross multiply
    258,066x = 379,509 × 379,509
  4. Step 4: Simplify right side
    258,066x = 144,027,081,081
  5. Step 5: Solve for x
    x = 144,027,081,081/258,066
  6. Step 6: Final answer
    x = 558,101.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.