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Finding the Third Proportional to 357,211 and 485,132

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Solution

The third proportional to 357,211 and 485,132 is: 658,862.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,211 : 485,132 = 485,132 : x
  2. Step 2: Convert to fraction form
    357,211/485,132 = 485,132/x
  3. Step 3: Cross multiply
    357,211x = 485,132 × 485,132
  4. Step 4: Simplify right side
    357,211x = 235,353,057,424
  5. Step 5: Solve for x
    x = 235,353,057,424/357,211
  6. Step 6: Final answer
    x = 658,862.85

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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.