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Finding the Third Proportional to 185,407 and 397,058

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Solution

The third proportional to 185,407 and 397,058 is: 850,318.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,407 : 397,058 = 397,058 : x
  2. Step 2: Convert to fraction form
    185,407/397,058 = 397,058/x
  3. Step 3: Cross multiply
    185,407x = 397,058 × 397,058
  4. Step 4: Simplify right side
    185,407x = 157,655,055,364
  5. Step 5: Solve for x
    x = 157,655,055,364/185,407
  6. Step 6: Final answer
    x = 850,318.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.