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Finding the Third Proportional to 331,125 and 692,230

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Solution

The third proportional to 331,125 and 692,230 is: 1,447,134.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,125 : 692,230 = 692,230 : x
  2. Step 2: Convert to fraction form
    331,125/692,230 = 692,230/x
  3. Step 3: Cross multiply
    331,125x = 692,230 × 692,230
  4. Step 4: Simplify right side
    331,125x = 479,182,372,900
  5. Step 5: Solve for x
    x = 479,182,372,900/331,125
  6. Step 6: Final answer
    x = 1,447,134.38

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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.