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Finding the Third Proportional to 215,317 and 308,213

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Solution

The third proportional to 215,317 and 308,213 is: 441,187.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,317 : 308,213 = 308,213 : x
  2. Step 2: Convert to fraction form
    215,317/308,213 = 308,213/x
  3. Step 3: Cross multiply
    215,317x = 308,213 × 308,213
  4. Step 4: Simplify right side
    215,317x = 94,995,253,369
  5. Step 5: Solve for x
    x = 94,995,253,369/215,317
  6. Step 6: Final answer
    x = 441,187.89

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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.