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Finding the Third Proportional to 357,302 and 485,233

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Solution

The third proportional to 357,302 and 485,233 is: 658,969.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,302 : 485,233 = 485,233 : x
  2. Step 2: Convert to fraction form
    357,302/485,233 = 485,233/x
  3. Step 3: Cross multiply
    357,302x = 485,233 × 485,233
  4. Step 4: Simplify right side
    357,302x = 235,451,064,289
  5. Step 5: Solve for x
    x = 235,451,064,289/357,302
  6. Step 6: Final answer
    x = 658,969.34

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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.