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Finding the Third Proportional to 357,212 and 485,127

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Solution

The third proportional to 357,212 and 485,127 is: 658,847.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,212 : 485,127 = 485,127 : x
  2. Step 2: Convert to fraction form
    357,212/485,127 = 485,127/x
  3. Step 3: Cross multiply
    357,212x = 485,127 × 485,127
  4. Step 4: Simplify right side
    357,212x = 235,348,206,129
  5. Step 5: Solve for x
    x = 235,348,206,129/357,212
  6. Step 6: Final answer
    x = 658,847.42

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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.