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Finding the Third Proportional to 331,129 and 692,238

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Solution

The third proportional to 331,129 and 692,238 is: 1,447,150.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,129 : 692,238 = 692,238 : x
  2. Step 2: Convert to fraction form
    331,129/692,238 = 692,238/x
  3. Step 3: Cross multiply
    331,129x = 692,238 × 692,238
  4. Step 4: Simplify right side
    331,129x = 479,193,448,644
  5. Step 5: Solve for x
    x = 479,193,448,644/331,129
  6. Step 6: Final answer
    x = 1,447,150.35

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.