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Finding the Third Proportional to 320,694 and 692,736

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Solution

The third proportional to 320,694 and 692,736 is: 1,496,389.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,694 : 692,736 = 692,736 : x
  2. Step 2: Convert to fraction form
    320,694/692,736 = 692,736/x
  3. Step 3: Cross multiply
    320,694x = 692,736 × 692,736
  4. Step 4: Simplify right side
    320,694x = 479,883,165,696
  5. Step 5: Solve for x
    x = 479,883,165,696/320,694
  6. Step 6: Final answer
    x = 1,496,389.60

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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.