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Finding the Third Proportional to 140,744 and 306,736

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Solution

The third proportional to 140,744 and 306,736 is: 668,497.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,744 : 306,736 = 306,736 : x
  2. Step 2: Convert to fraction form
    140,744/306,736 = 306,736/x
  3. Step 3: Cross multiply
    140,744x = 306,736 × 306,736
  4. Step 4: Simplify right side
    140,744x = 94,086,973,696
  5. Step 5: Solve for x
    x = 94,086,973,696/140,744
  6. Step 6: Final answer
    x = 668,497.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.