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Finding the Third Proportional to 357,199 and 485,115

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Solution

The third proportional to 357,199 and 485,115 is: 658,838.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,199 : 485,115 = 485,115 : x
  2. Step 2: Convert to fraction form
    357,199/485,115 = 485,115/x
  3. Step 3: Cross multiply
    357,199x = 485,115 × 485,115
  4. Step 4: Simplify right side
    357,199x = 235,336,563,225
  5. Step 5: Solve for x
    x = 235,336,563,225/357,199
  6. Step 6: Final answer
    x = 658,838.81

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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.