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Finding the Third Proportional to 320,494 and 692,383

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Solution

The third proportional to 320,494 and 692,383 is: 1,495,797.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,494 : 692,383 = 692,383 : x
  2. Step 2: Convert to fraction form
    320,494/692,383 = 692,383/x
  3. Step 3: Cross multiply
    320,494x = 692,383 × 692,383
  4. Step 4: Simplify right side
    320,494x = 479,394,218,689
  5. Step 5: Solve for x
    x = 479,394,218,689/320,494
  6. Step 6: Final answer
    x = 1,495,797.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.