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Finding the Third Proportional to 320,625 and 692,631

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Solution

The third proportional to 320,625 and 692,631 is: 1,496,257.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,625 : 692,631 = 692,631 : x
  2. Step 2: Convert to fraction form
    320,625/692,631 = 692,631/x
  3. Step 3: Cross multiply
    320,625x = 692,631 × 692,631
  4. Step 4: Simplify right side
    320,625x = 479,737,702,161
  5. Step 5: Solve for x
    x = 479,737,702,161/320,625
  6. Step 6: Final answer
    x = 1,496,257.94

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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.