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Finding the Third Proportional to 323,128 and 690,238

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Solution

The third proportional to 323,128 and 690,238 is: 1,474,426.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,128 : 690,238 = 690,238 : x
  2. Step 2: Convert to fraction form
    323,128/690,238 = 690,238/x
  3. Step 3: Cross multiply
    323,128x = 690,238 × 690,238
  4. Step 4: Simplify right side
    323,128x = 476,428,496,644
  5. Step 5: Solve for x
    x = 476,428,496,644/323,128
  6. Step 6: Final answer
    x = 1,474,426.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.