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Finding the Third Proportional to 215,318 and 308,215

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Solution

The third proportional to 215,318 and 308,215 is: 441,191.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,318 : 308,215 = 308,215 : x
  2. Step 2: Convert to fraction form
    215,318/308,215 = 308,215/x
  3. Step 3: Cross multiply
    215,318x = 308,215 × 308,215
  4. Step 4: Simplify right side
    215,318x = 94,996,486,225
  5. Step 5: Solve for x
    x = 94,996,486,225/215,318
  6. Step 6: Final answer
    x = 441,191.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.