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Finding the Third Proportional to 357,194 and 485,107

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Solution

The third proportional to 357,194 and 485,107 is: 658,826.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,194 : 485,107 = 485,107 : x
  2. Step 2: Convert to fraction form
    357,194/485,107 = 485,107/x
  3. Step 3: Cross multiply
    357,194x = 485,107 × 485,107
  4. Step 4: Simplify right side
    357,194x = 235,328,801,449
  5. Step 5: Solve for x
    x = 235,328,801,449/357,194
  6. Step 6: Final answer
    x = 658,826.30

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.