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Finding the Third Proportional to 215,293 and 308,174

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Solution

The third proportional to 215,293 and 308,174 is: 441,125.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,293 : 308,174 = 308,174 : x
  2. Step 2: Convert to fraction form
    215,293/308,174 = 308,174/x
  3. Step 3: Cross multiply
    215,293x = 308,174 × 308,174
  4. Step 4: Simplify right side
    215,293x = 94,971,214,276
  5. Step 5: Solve for x
    x = 94,971,214,276/215,293
  6. Step 6: Final answer
    x = 441,125.42

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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.