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Finding the Third Proportional to 106,318 and 231,315

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Solution

The third proportional to 106,318 and 231,315 is: 503,269.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,318 : 231,315 = 231,315 : x
  2. Step 2: Convert to fraction form
    106,318/231,315 = 231,315/x
  3. Step 3: Cross multiply
    106,318x = 231,315 × 231,315
  4. Step 4: Simplify right side
    106,318x = 53,506,629,225
  5. Step 5: Solve for x
    x = 53,506,629,225/106,318
  6. Step 6: Final answer
    x = 503,269.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.